{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 18: Backpropagation\n",
    "### Miscellaneous Figures\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# make plots of error surfaces\n",
    "def draw_errors(plot_lo=-3, plot_hi=3, filename=None):\n",
    "    fig = plt.figure(figsize=(7, 6))\n",
    "    for i in [0,1]:\n",
    "        target = ([0,1],[1,0])[i]\n",
    "        ax = fig.add_subplot(2, 2, 1+(2*i), projection='3d')\n",
    "        plot_side = 20\n",
    "        x_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "        y_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "        x_grid, y_grid = np.meshgrid(x_space, y_space)\n",
    "        Z = np.zeros((plot_side,plot_side))\n",
    "        for px in range(plot_side):\n",
    "            for py in range(plot_side):\n",
    "                XY = [x_grid[px,py], y_grid[px,py]]\n",
    "                Z[px, py] = (XY[0]-target[0])**2 + (XY[1]-target[1])**2\n",
    "        ax.plot_surface(x_grid, y_grid, Z, rstride=1, cstride=1, cmap='cool', edgecolor='none')    \n",
    "\n",
    "        title = 'error for target = ({:1.1f}, {:1.1f})'.format(target[0], target[1])\n",
    "        plt.title(title)\n",
    "        plt.xlabel('P1')\n",
    "        plt.ylabel('P2')\n",
    "        \n",
    "        plt.subplot(2, 2, 2+(2*i))\n",
    "        plt.contourf(x_grid, y_grid, Z, 15, cmap='cool')  \n",
    "        plt.axvline(target[0], color='black', linewidth=.5)\n",
    "        plt.axhline(target[1], color='black', linewidth=.5)\n",
    "        plt.xlabel('P1')\n",
    "        plt.ylabel('P2')\n",
    "        plt.title(title)\n",
    "        plt.colorbar() \n",
    "    plt.tight_layout()\n",
    "    fig.subplots_adjust(wspace=.35)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqUAAAJKCAYAAAAVyjxlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAA4yilAAAAMO4PYAvl3SBg/fYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f682358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_errors(plot_lo=-3, plot_hi=3, filename='simple-net-errors-range-3-3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def draw_clipped_errors(plot_lo=-3, plot_hi=3, filename=None):\n",
    "    fig = plt.figure(figsize=(6, 5))\n",
    "    target = [1,0]\n",
    "    ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
    "    plot_side = 20\n",
    "    x_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    y_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    x_grid, y_grid = np.meshgrid(x_space, y_space)\n",
    "    Z = np.zeros((plot_side,plot_side))\n",
    "    for px in range(plot_side):\n",
    "        for py in range(plot_side):\n",
    "            XY = [x_grid[px,py], y_grid[px,py]]\n",
    "            Z[px, py] = (XY[0]-target[0])**2 + (XY[1]-target[1])**2\n",
    "    for px in range(0, int(plot_side/2)):\n",
    "        for py in range(plot_side):\n",
    "            Z[px,py] = 0\n",
    "    ax.plot_surface(x_grid, y_grid, Z, rstride=1, cstride=1, cmap='cool', edgecolor='none')\n",
    "\n",
    "    title = 'error for target = ({:1.1f}, {:1.1f}) at P2=0'.format(target[0], target[1])\n",
    "    plt.title(title)\n",
    "    plt.xlabel('P1')\n",
    "    plt.ylabel('P2')\n",
    "    plt.ylim(-3, 3)\n",
    "\n",
    "    plt.tight_layout()\n",
    "    fig.subplots_adjust(wspace=.35)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAHkCAYAAADFKNCnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120dd92e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_clipped_errors(filename='error-for-P2-0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_P1_error(range_lo=-3, range_hi=3, demo_value=-1, show_deriv=True, filename=None):\n",
    "    def err(x):\n",
    "        return (1-x)**2\n",
    "    \n",
    "    xvals = np.linspace(range_lo, range_hi, 100)\n",
    "    yvals = [err(x) for x in xvals]\n",
    "    plt.plot(xvals, yvals, color='black')\n",
    "    plt.ylim(np.min(yvals)-.5, np.max(yvals)+.5)\n",
    "    plt.scatter([demo_value], err(demo_value), s=250, c='orange', zorder=20)\n",
    "    if show_deriv:\n",
    "        deriv_x_left = demo_value-1\n",
    "        deriv_x_right = demo_value+1\n",
    "        deriv_at_demo = 2*(demo_value-1)\n",
    "        deriv_y_left = err(demo_value) - deriv_at_demo\n",
    "        deriv_y_right = err(demo_value) + deriv_at_demo\n",
    "        plt.plot([deriv_x_left, deriv_x_right], [deriv_y_left, deriv_y_right], color='green', lw=3, zorder=30)\n",
    "    plt.scatter([-1], [0], s=250, c='orange', zorder=20)\n",
    "    plt.plot([-1, -1],[0, err(demo_value)], c='orange', lw=3, zorder=5)\n",
    "    plt.xlabel('P1')\n",
    "    plt.ylabel('error')\n",
    "    plt.title('Error when P2=0 for target (1,0)')\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAAH9CAYAAAANqCSnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120fe9860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_P1_error(range_lo=-3, range_hi=3, demo_value=-1, show_deriv=True, filename='error-P1-only-4-4')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def draw_clipped_errors_pair(plot_lo=-3, plot_hi=3, filename=None):\n",
    "    fig = plt.figure(figsize=(8, 3))\n",
    "    target = [1,0]\n",
    "    ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "    plot_side = 20\n",
    "    x_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    y_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    x_grid, y_grid = np.meshgrid(x_space, y_space)\n",
    "    Z = np.zeros((plot_side,plot_side))\n",
    "    for px in range(plot_side):\n",
    "        for py in range(plot_side):\n",
    "            XY = [x_grid[px,py], y_grid[px,py]]\n",
    "            Z[px, py] = (XY[0]-target[0])**2 + (XY[1]-target[1])**2\n",
    "    for px in range(0, int(plot_side*4.5/6)):\n",
    "        for py in range(plot_side):\n",
    "            Z[px,py] = 0\n",
    "    ax.plot_surface(x_grid, y_grid, Z, rstride=1, cstride=1, cmap='cool', edgecolor='none')\n",
    "    #ax.view_init(elev=10., azim=20)\n",
    "    #ax.view_init(azim=250)\n",
    "    title = 'error for target = ({:1.1f}, {:1.1f}) at P2=1.5'.format(target[0], target[1])\n",
    "    plt.title(title)\n",
    "    plt.xlabel('P1')\n",
    "    plt.ylabel('P2')\n",
    "    plt.ylim(-3, 3)\n",
    "    \n",
    "    \n",
    "    ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "    plot_side = 20\n",
    "    x_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    y_space = np.linspace(plot_lo, plot_hi, plot_side)\n",
    "    x_grid, y_grid = np.meshgrid(x_space, y_space)\n",
    "    Z = np.zeros((plot_side,plot_side))\n",
    "    for px in range(plot_side):\n",
    "        for py in range(plot_side):\n",
    "            XY = [x_grid[px,py], y_grid[px,py]]\n",
    "            Z[px, py] = (XY[0]-target[0])**2 + (XY[1]-target[1])**2\n",
    "    for py in range(0, int(plot_side*5/12)):\n",
    "        for px in range(plot_side):\n",
    "            Z[px,py] = 0\n",
    "    ax.plot_surface(x_grid, y_grid, Z, rstride=1, cstride=1, cmap='cool', edgecolor='none')\n",
    "    \n",
    "    #ax.view_init(azim=250)\n",
    "    title = 'error for target = ({:1.1f}, {:1.1f}) at P1=-0.5'.format(target[0], target[1])\n",
    "    plt.title(title)\n",
    "    plt.xlabel('P1')\n",
    "    plt.ylabel('P2')\n",
    "    plt.ylim(-3, 3)\n",
    "\n",
    "    plt.tight_layout()\n",
    "    fig.subplots_adjust(wspace=.35)\n",
    "    fig.subplots_adjust(hspace=.35)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxAAAAEcCAYAAABXpFKvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB8YAzgOCXCIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12238e4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_clipped_errors_pair(filename='clipped-error-pair')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_P1_P2_error(plot_limits=[-3,3], pvals=[-.5, 1.5], target=[1,0], show_deriv=True, filename=None):\n",
    "    def err(x, pval):\n",
    "        if pval==0:\n",
    "            return ((target[0]-x)**2) + ((target[1]-pvals[1])**2)\n",
    "        else:\n",
    "            return ((target[0]-pvals[0])**2) + ((target[1]-x)**2)\n",
    "\n",
    "    fig = plt.figure(figsize=(8, 3))\n",
    "    for i in range(2):\n",
    "        plt.subplot(1, 2, i+1)\n",
    "        xvals = np.linspace(plot_limits[0], plot_limits[1], 100)\n",
    "        yvals = [err(x, i) for x in xvals]\n",
    "        plt.plot(xvals, yvals, color='black')\n",
    "        #plt.ylim(np.min(yvals)-.5, np.max(yvals)+.5)\n",
    "        plt.ylim(0, np.max(yvals)+.5)\n",
    "        demo_value = pvals[i]\n",
    "        plt.scatter([demo_value], err(demo_value, i), s=150, c='orange', zorder=20)\n",
    "        plt.scatter([demo_value], [0], s=150, c='orange', zorder=20)\n",
    "        plt.plot([demo_value, demo_value], [0, err(demo_value, i)], c='orange', lw=3, zorder=5)\n",
    "        if show_deriv:\n",
    "            deriv_x_left = demo_value-1\n",
    "            deriv_x_right = demo_value+1\n",
    "            deriv_at_demo = 2*(demo_value-target[i])\n",
    "            deriv_y_left = err(demo_value, i) - deriv_at_demo\n",
    "            deriv_y_right = err(demo_value, i) + deriv_at_demo\n",
    "            plt.plot([deriv_x_left, deriv_x_right], [deriv_y_left, deriv_y_right], lw=3, color='green', zorder=30)\n",
    "        pstring = 'P'+str(i+1)\n",
    "        plt.xlabel(pstring)\n",
    "        plt.ylabel('error')\n",
    "        if i==0:\n",
    "            title = 'P1 error, P2='+str(pvals[1])+', label='+str(target)\n",
    "        else:\n",
    "            title = 'P2 error, P1='+str(pvals[0])+', label='+str(target)\n",
    "        plt.title(title)\n",
    "        plt.ylim(-2, 20)\n",
    "    fig.subplots_adjust(wspace=.35)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAAE8CAYAAADXHOm2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiN35P06eALl8N9X7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1235880b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_P1_P2_error(filename='error-P1-P2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def sigma(x):\n",
    "    return 1/(1+math.exp(-x))\n",
    "\n",
    "def sigma_prime(x):\n",
    "    s = sigma(x)\n",
    "    return s*(1-s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqQAAAHoCAYAAACfNP0jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xt8lOWd///3HJKZHMmBEE4BDAcTQBNBtGzBtkpttUWw\nVq31UdFK0W21/rbWqtQWW12BtmvX1h5cddkttq5KPX11tZRVa2sVpXJQQtCEYziEhJyTyUwyc//+\nCAncMwEyOd33zLyej9Jwf+aeyQcuZvL2vu/ruh2GYRgCAAAALOK0ugEAAAAkNgIpAAAALEUgBQAA\ngKUIpAAAALAUgRQAAACWIpACAADAUgRSAAAAWIpACgAAAEsRSAEAAGApAikAnMLdd9+tiy66yOo2\nejz33HMqLi7WwYMHT7rPgQMHVFRUpOeff34YOwOA/nNb3QAA2Nk3v/lNLVmyxOo2enz605/WU089\npby8PKtbAYBBQyAFgFMoKCiwugWT7OxsZWdnW90GAAwqTtkDSHjbt2/X9ddfr3PPPVezZs3SDTfc\noK1bt0qS7rrrLl144YU9+3Z2dupnP/uZPvWpT6mkpETf+MY39Pzzz6uoqKjnNPrdd9+tpUuX6umn\nn9ZnP/tZlZSU6JprrtGePXv0+uuva+HChSotLdVVV12l8vJyUy9vvfWWrr32Wp177rk6//zzdfvt\nt+vw4cM9jz/77LOm7yVJ69ev16JFi1RSUqIvfelL2rFjx1D+dQHAoCOQAkhoLS0tWrp0qXJzc/XL\nX/5SP//5z+Xz+bR06VK1tLTI4XDI4XD07P+DH/xAa9eu1XXXXadf//rXGjlypH74wx+a9pGkzZs3\n6/e//72WL1+ulStXqrKyUsuWLdOqVav0z//8z/r5z3+ugwcP6o477uh5zgsvvKAbb7xRY8eO1YMP\nPqjly5dry5Ytuvrqq1VXVydJEf289tpruu2221RcXKxf//rXuuSSS3THHXdE9AMAdsYpewAJrbKy\nUvX19fra176m0tJSSVJhYaGefvpptba2mvbdt2+fnn/+ed11110915V+8pOfVE1Njd566y3Tvm1t\nbXrooYc0adIkSdK7776rp556Sv/93/+t8847T5J044036ic/+YlaWlqUlpamn/70p7rgggv005/+\ntOd1Zs2apUsvvVT/+Z//qe9+97sR/f/qV79SSUmJVq1a1dOPJD344IOD8LcDAMODI6QAEtrUqVOV\nk5Ojm266SStWrNCGDRs0cuRI3X777crPzzftu3HjRknS5z//eVP9i1/8YsTrZmZm9oRRSRo5cqQk\nqaSkpKeWlZUlSWpqatKuXbtUW1urSy+91PQ6BQUFKi0t1bvvvhvxPfx+v8rKyvSZz3zGVL/kkktk\nGMbp/ugAYBsEUgAJLTU1VX/4wx/06U9/Wq+++qpuvfVWzZ07VytWrFAgEDDtW19fL0nKyckx1XNz\ncyNeNz09vdfv5/F4eq03NjZKUq+z5/Py8tTU1NTrcwzDiJjkNGrUqF6/BwDYFafsASS8SZMmafXq\n1TIMQ9u2bdMLL7ygJ598UhMmTDDt133EtK6uznT09OjRowPuYcSIEZKkmpqaiMdqamp6nVmflZUl\np9Op2tpaU707OANArOAIKYCE9qc//Ulz587V0aNH5XA4VFJSoh/+8IfKyMjQoUOHTPvOmjVLTqdT\n69evN9XDt/ujsLBQI0eO1Msvv2yq79+/X5s3b9a5554b8Zzk5GSdc845Ed//tddeY1ITgJjCEVIA\nCW3WrFkKhUL65je/qW984xtKT0/X//7v/6qlpUUXX3yxnnvuuZ59CwoKdMUVV+jBBx9UIBBQUVGR\n1q9frzfeeEOS5HT2/7/xHQ6Hbr/9di1fvly33367Fi1apLq6Ov3qV79Sdna2rr/++l6f9y//8i+6\n/vrrdcstt+jqq6/Wrl279Mgjj/S7DwCwAkdIASS0vLw8Pf7448rIyNA999yjm2++WTt27NAvf/nL\nntnwJx5tvOeee/SVr3xFa9as0be+9S1VV1frm9/8pqSu61G79XaE8nRHLS+//HL94he/0N69e3XL\nLbfoJz/5iWbPnq1169b1ep2qJJ177rl69NFHdeTIEd1666165plntHLlyqj/HgDASg6DqZgA0CeN\njY168803dcEFF/Rc8ylJq1ev1nPPPad33nnHwu4AIHZxyh4A+iglJUX333+/pk+friVLlig1NbVn\nAfybb77Z6vYAIGZxhBQAolBeXq5///d/19atW+Xz+VRQUKBrrrlGX/3qV61uDQBiFoEUAAAAlmJS\nEwAAACxFIAUAAIClbD2pyTAM1dW1KhTiqgI7cTodyslJY2xsivGxL8bGvhgbe2N87MvpdCg3t/db\nJUf1OoPQy5BxOBxyOrnbiN04nQ7GxsYYH/tibOyLsbE3xse+BmtMbB1IAQAAEP8IpAAAALAUgRQA\nAACWIpACAADAUgRSAAAAWIpACgAAAEsRSAEAAGApAikAAAAsRSAFAACApQikAAAAsBSBFAAAAJbq\ndyANBAJauHCh3nvvvZPuU1ZWpquuukqlpaW68sortX379v5+OwAAAMSpfgXSQCCg73znO6qoqDjp\nPj6fT8uWLdOcOXP07LPPqrS0VDfddJPa29v73SwAAADiT9SBtLKyUldddZWqqqpOud/LL7+slJQU\n3XHHHSosLNT3v/99paWl6dVXX+13swAAAIg/UQfSd999V3PnztVTTz0lwzBOut+2bds0e/ZsU23W\nrFnavHlz9F0CAAAgbrmjfcI111zTp/2OHDmiadOmmWq5ubmnPM0PAECiCBmGOjpDPb86g12/gkFD\nnaGQOjuNru2QoWDo2NegoZBhmH4fMgyFQsd+GVIoZMjorhuSETrh94Yhw5AMHfvavd39e0kypJAM\nHfufdKx+/Lk69n9dr3P8912vc8Ijxx84/qXr9yc5oHVi+cQ9nA4pKdmtjkCnQqGTHww76SMnf0rU\nBvGl4oLDId277J8G/DpRB9K+am9vV3JysqmWnJysQCAQ1eu4XCwEYDfdY8LY2BPjY1+MjX31dWxC\nhqFWX4ea27p+tbV3qM3fKZ+/U23tnV2/b++UL9Apf0dQ/kBI/o5O+QNB+TtCCnQEFegMHgugRBug\n25AFUo/HExE+A4GAvF5vVK+TmZkymG1hEDE29sb42BdjYz+hkKHaBp+ONvpU29iuow0+HW1sV21j\n19emVr8aWwJqaQvoFAfoAPTTkAXS/Px81dTUmGq1tbXKy8uL6nWamnwKBkOD2RoGyOVyKjMzhbGx\nKcbHvhgb6zW2+HWwtlWH69p0uM6n6ro2Vde16Ui9Tx2MCWCZIQukJSUlevTRR021zZs36+abb47q\ndYLBkDo7+ZCwI8bG3hgf+2Jshp5hGKpv9mvv4WbtrW7u+drQEt1lY1Zxu5xyuxxyu5xyOR1yuRxy\nOR1yOp1yOx1yHvvlcjrkdDjkdKin5nR0fXWoq+Y49rjjhLrj2LbDITnkkBzq2afr8a6aQ8cfd0jH\nvnY9T8deR73s01OTeb8TmWuOXn53fB+n06GUlGT5fAGFQkZXf1GK+hnRf4u4Ec0f3ekcnL+oQQ2k\ntbW1ysjIkMfj0ec+9zk9+OCDeuCBB3T11VfrySefVFtbmy655JLB/JYAAEiSjjT4tGNPnXbsrVf5\n3no1tXUM6ffzJruU5k1SisetVI9LKR63UrxupXrcSvG4lZzkkifJJU+S89hXl5KTXUp2O5Xsdsnt\ndirJ7VSS69hXd1cIdToc/Qpc8cztdio7O0319a38x5zNuN2Dc038gAJp+Btm3rx5WrVqlRYvXqz0\n9HT99re/1YoVK/T000/rzDPP1KOPPhr1NaQAAPSmrb1DH+6uU9meOpXtqVdt48BvvOJ2OZSV7lFO\nhkdZGR7lZHiVleHRiLRkpacmKSMlSRmpyUpPSVLSIP0gBiA5jFMtJmoD/NeQ/fBfqvbG+NgXYzNw\nHZ1Bba04qnfKqrWtsrZfM9WT3U6Nyk5Vfk6K8rNTlZ+dorF56TrzjFwZnZ0KMvvddnjv2Ff32Az4\ndQahFwAAhkwwFFL53ga9U3ZY739UI58/2OfnpnhcmpifoQn5GZo4OkOTRmcoPzs14ro3t9up7Eyv\n6utbxUqTwPAjkAIAbKk90Kk3tx7Sn97dp/pmf5+ek5GapOKJ2Zo+KUdnFmQpLztFTq7HBGyPQAoA\nsJUWX4c2bNqv//tHlVrbO0+5r9vl0PRJOZo+MVvFk3I0Li+NAArEIAIpAMAW6pra9ad39+svWw8o\n0HHy6wQdkoomZuv86fk698w8pXqThq9JAEOCQAoAsFSgI6j/9/c9enXjPgVPcRukifkZ+sSMfJ1X\nnK/sDM8wdghgqBFIAQCW2b67Tr/7U7lqGk6+ZFPJ5FxdOneipo7PGsbOAAwnAikAYNg1tQb0P//3\nsd4pq+71cafDofOmj9Kl50/U+FHpw9wdgOFGIAUADJuQYehv2w7pmdcrep2w5HI6dEHpWH3+vAnK\ny0qxoEMAViCQAgCGRWt7hx55Ybs+3F3X6+NTxo/Qks+dqXF5HBEFEg2BFAAw5A4dbdUv/viBquva\nIh5L9bh15Wcma37JWJZsAhIUgRQAMKQ+3H1Uv3l+u3z+yFP0n5ier6svmqoRackWdAbALgikAIAh\nYRiGNmyq0v+89rGMsNWcMtOStfQLxZpZmGtNcwBshUAKABh0ncGQnli/U29uPRTx2MT8DN16xVnK\nyfRa0BkAOyKQAgAGlc/fqYfWbdNH+xsiHju3aJRu/EKxPEkuCzoDYFcEUgDAoOnoDOnhZz/oNYwu\nnneGFn5ykhxMXAIQhkAKABgUwVBI//Hidu3YW2+qJyc5tfQL03Vu0SiLOgNgdwRSAMCAGYah3726\nU//4qMZUz0hN0neuKtXE0RkWdQYgFjitbgAAEPvW/aVSf91mnsDkTXYRRgH0CYEUADAgr2zcq1fe\n2WequV1OffuKswmjAPqEQAoA6Lc3tx7UM69XmmpOh0P/vGiGiiZmW9QVgFhDIAUA9Mu2ylr996vl\nEfUbLi3SOdPyLOgIQKwikAIAotbQ4tdjL+2IuAPT1RdO0SfPGmNNUwBiFoEUABCVkGHo8Zd3qMXX\nYap/Ye5Efe68CRZ1BSCWEUgBAFHZsKlK23fXmWqzpuXpSxcUWtQRgFhHIAUA9Nn+Iy1a90aFqZaV\nnqzrLyniDkwA+o1ACgDok0BHUP/x4nZ1Bs0Xji794nSlpyRZ1BWAeEAgBQD0yTOvV+pAbaup9vnz\nJmj6pByLOgIQLwikAIDT2lZZq/97v8pUm5Cfrsu5bhTAICCQAgBOqbE1oP98eYeplux2atnCGUpy\n82MEwMDxSQIAOKXfvVqupjbzEk9XXzRVY0emWdQRgHhDIAUAnNT23XXa/HGtqVY6ZaQ+XTrWoo4A\nxCMCKQCgV6GQoadeMy/xlJmapOsvZYknAIOLQAoA6NVbHx5SVU2LqfalT01WZmqyRR0BiFcEUgBA\nBH8gqGff3GWqjctL0zzuUw9gCBBIAQAR/vTuPjW2BEy1qz8zRU4np+oBDD4CKQDApKHFr1c27jPV\nZpyRo5mFuRZ1BCDeEUgBACbPvblL/o5gz7bD0XV0FACGCoEUANBj/5EW/W3bIVNt3lljNH5UukUd\nAUgEBFIAQI+nX6+QccK2J8nF7UEBDDkCKQBAkvThrqPavrvOVLvk/AnKSvdY1BGAREEgBQB0LYL/\nunkR/Kz0ZH3uvAkWdQQgkRBIAQB6/6MaHahpNdUuv6BQnmSXRR0BSCQEUgCA1r+337Q9Pi9Nn5zJ\nIvgAhgeBFAASXOWBRlUcaDTVLp07kUXwAQwbAikAJLjwo6PZGR6de+Yoi7oBkIgIpACQwGobffrH\nzhpTbcHs8XK7+PEAYPjwiQMACez//lGlkHF85dHkJKcuKB1rYUcAEhGBFAASlM/fqTe3HjTV5p81\nVmneJIs6ApCoCKQAkKD+tu2QfP4T7lkvacGc8dY1BCBhEUgBIAGFQob+vMk8mal06kjlZ6da1BGA\nREYgBYAEtPnjGtU2tptqF88psKgbAImOQAoACSh8qaeJ+RmaVpBlUTcAEh2BFAASzO5DTfq4yrwQ\n/sXnFcjhYCF8ANYgkAJAggk/OpqVnqw5RSyED8A6BFIASCB1Te16b8cRU+0iFsIHYDE+gQAggfxl\ny8GIhfA/VTrOwo4AgEAKAAnDMAy9vf2wqfZPM8coPYWF8AFYi0AKAAmi4kBjxFJP888eY1E3AHAc\ngRQAEsTbH5qPjo7JTdWk0RkWdQMAxxFIASABdHSG9F65eTLTJ2aMZqknALZAIAWABPDBrqNqbe80\n1eZOz7eoGwAwI5ACQAIIP10/bfwIjcxKsagbADAjkAJAnGtt79DWylpT7RMzR1vUDQBEIpACQJx7\nr/yIOoPH1x51uxzcmQmArRBIASDOvRN2ur5k8kileVl7FIB9EEgBII7VNvj0UVWjqfaJGZyuB2Av\nUQfSQCCg5cuXa86cOZo/f77WrFlz0n3//Oc/6wtf+ILOOeccXXvttSorKxtQswCA6LxdVm3aTvO6\ndfbkXIu6AYDeRR1IV69erbKyMq1du1YrVqzQww8/rPXr10fsV1FRoe9+97u66aab9OKLL6qoqEjL\nli2T3+8flMYBAKdmGIbeCbtV6JyiUUpyc3IMgL1E9ank8/m0bt063XPPPSoqKtKCBQu0dOlSPfHE\nExH7/u1vf9PUqVN12WWXqaCgQN/5zndUW1urioqKQWseAHBye6ubdehom6k2l9n1AGwoqkBaXl6u\nYDCo0tLSntrs2bO1bdu2iH2zsrJUUVGh999/X4Zh6I9//KMyMjI0YcKEgXcNADitv4dNZho5wqsp\n40ZY1A0AnJw7mp1ramqUlZUlt/v403Jzc+X3+1VfX6/s7Oye+qWXXqrXXntNX/3qV+VyueR0OvUf\n//EfysjgvskAMNSCoZDeDbt+lFuFArCrqAKpz+dTcnKyqda9HQgETPWGhgbV1tZqxYoVKikp0ZNP\nPqm77rpLzz33nHJycvr8PV0urnWym+4xYWzsifGxr+Ecm+0VdWpq6zDV5peMkZvrR3vF+8beGB/7\nGqwxiSqQejyeiODZvZ2SYr4F3c9+9jOdeeaZuuaaayRJP/7xj3XJJZfo2Wef1dKlS/v8PTMzubWd\nXTE29sb42NdwjM0/Pio3bU8tyNL0KSyGfzq8b+yN8YlfUQXS/Px8NTQ0KBQKyensSsS1tbXyer3K\nzMw07bt9+3Zdd911PdsOh0NFRUU6ePBgVA02NfkUDIaieg6GlsvlVGZmCmNjU4yPfQ3X2HQGQ3o3\nbHb9+cWjVF/fOmTfM9bxvrE3xse+usdmoKIKpMXFxXK73dqyZYtmzZolSdq0aZNmzpwZse+oUaMi\nZtTv3r1bZ599dlQNBoMhdXbyj8+OGBt7Y3zsa6jHZseeOrX5O021c6bm8e+hD3jf2BvjE7+iOvHv\n9Xq1aNEirVixQh988IE2bNigNWvWaMmSJZK6jpZ2rzN65ZVX6plnntELL7ygffv26Wc/+5kOHTqk\nxYsXD/6fAgDQY0vFUdP2xNEZys7wWNQNAJxeVEdIJenuu+/Wj370Iy1ZskQZGRm67bbbtGDBAknS\nvHnztGrVKi1evFiXXnqpfD6fHnnkEVVXV6u4uFi/+93voprQBACIjmEY2lJRY6qVThlpUTcA0DcO\nwzAMq5s4lfr6Vg7P24zb7VR2dhpjY1OMj30Nx9gcqG3VDx7baKqtuH6OJo5myb1T4X1jb4yPfXWP\nzUCxfgIAxJGtFbWm7ewMjybkp1vUDQD0DYEUAOLIlrBAWjJlJIvhA7A9AikAxImmtoAqqxpNtdIp\nuRZ1AwB9RyAFgDjxQeVRnTgpIDnJqeKJ2SfdHwDsgkAKAHEi/HT9jEk5SnK7LOoGAPqOQAoAcaCj\nM6QPd9eZaiz3BCBWEEgBIA7s3FcvfyDYs+2QdDaBFECMIJACQBwIP11fODZTI9KSLeoGAKJDIAWA\nGGcYRsT6oyUcHQUQQwikABDjqmpadbTJb6px/SiAWEIgBYAYt+Vj873rR47walzewG/lBwDDhUAK\nADFuS8VR0zZ3ZwIQawikABDDGlv82n2oyVTjdD2AWEMgBYAYtrXSfHTUm+zSmROyLOoGAPqHQAoA\nMWzLx+bZ9TMLc+V28dEOILbwqQUAMaqjM6iyveF3Z8q1qBsA6D8CKQDEqIoDTQp0hHq2HZLOKiSQ\nAog9BFIAiFE79tabtieMzlBGKndnAhB7CKQAEKN2hJ2unz4x26JOAGBgCKQAEIN8/k7tPthsqhVP\nIpACiE0EUgCIQTv3NyhkGD3bLqdDU8ez3BOA2EQgBYAYtGOP+frRyeNGyJPksqgbABgYAikAxKDw\nCU1cPwoglhFIASDGNLUGVFXTYqpx/SiAWEYgBYAYU77PfHTUk+TSGWMyLeoGAAaOQAoAMaYs7PrR\naQVZ3C4UQEzjEwwAYkx52PWjxVw/CiDGEUgBIIbUNvp0pMFnqk3n+lEAMY5ACgAxJHy5p/SUJI0f\nlW5RNwAwOAikABBDwpd7KpqQJafDYVE3ADA4CKQAECMMw4gIpMWTcizqBgAGD4EUAGLEwaNtamwN\nmGosiA8gHhBIASBG7NhTZ9rOyfRoVHaKRd0AwOAhkAJAjIg4XT8hWw6uHwUQBwikABADgqGQyvc1\nmGrcLhRAvCCQAkAM2FfdIp+/01QrnsiEJgDxgUAKADGgLOz60TG5qcrO8FjUDQAMLgIpAMSAiPVH\nmV0PII4QSAHA5jo6g/q4qtFUY7knAPGEQAoANld5oEkdnaGebYekMycQSAHEDwIpANjcR1Xm2fUT\n8jOUnpJkUTcAMPgIpABgcxVhp+unFoywqBMAGBoEUgCwsVDIUMUBcyCdNj7Lom4AYGgQSAHAxqpq\nWtQeCJpqU8ZzhBRAfCGQAoCNhc+uH5WVoqx01h8FEF8IpABgYx+HTWiaytFRAHGIQAoANmUYRsQR\n0qkFXD8KIP4QSAHApo42tau+2W+qcYQUQDwikAKATYUfHU1PSdLonFSLugGAoUMgBQCbCg+kU8aN\nkMPhsKgbABg6BFIAsKmICU0siA8gThFIAcCGWts7dKCm1VSbyoL4AOIUgRQAbCj8dqFJbqcm5mdY\n1A0ADC0CKQDYUPjtQs8Yk6kkNx/ZAOITn24AYEMf72dBfACJg0AKADbT0RnSrkPNphrXjwKIZwRS\nALCZvYeb1RkM9Ww7JE0Zl2ldQwAwxAikAGAz4cs9jctLU6o3yaJuAGDoEUgBwGYi7l/P6XoAcY5A\nCgA2EjKMyAXxmdAEIM4RSAHARg4fbVNre6epxhFSAPGOQAoANhJ+dDQn06PcEV6LugGA4UEgBQAb\n4fpRAImIQAoANsL1owASEYEUAGyivtmvmoZ2U40jpAASQdSBNBAIaPny5ZozZ47mz5+vNWvWnHTf\nnTt36qtf/apKSkp02WWXaePGjQNqFgDiWfj961M8Lo0bmWZRNwAwfKIOpKtXr1ZZWZnWrl2rFStW\n6OGHH9b69esj9mtpadGNN96oqVOn6qWXXtJnP/tZ3XLLLaqrqxuUxgEg3oSfrp88boScTodF3QDA\n8IkqkPp8Pq1bt0733HOPioqKtGDBAi1dulRPPPFExL7PPvus0tLS9KMf/UgFBQW69dZbNWnSJH34\n4YeD1jwAxJNdB5tM21PHcf0ogMTgjmbn8vJyBYNBlZaW9tRmz56tRx55JGLf9957TxdeeKGp9swz\nz/SzTQCIbx2dIe2rbjbVJhNIASSIqI6Q1tTUKCsrS2738Rybm5srv9+v+vp607779+9Xdna2fvjD\nH2revHn6yle+ovfff39wugaAOLOvulmdQaNn2yHpjDGZ1jUEAMMoqiOkPp9PycnJplr3diAQMNXb\n2tr02GOP6brrrtNjjz2ml156STfeeKNeffVV5efn9/l7ulwsBGA33WPC2NgT42Nfpxqb3YfNR0fH\n5qUpIy05Yj8MDd439sb42NdgjUlUgdTj8UQEz+7tlJQUU93lcqm4uFi33HKLJKmoqEhvvfWWXnjh\nBS1btqzP3zMzM+X0O8ESjI29MT721dvY7K9pNW1PPyNX2dnMsB9uvG/sjfGJX1EF0vz8fDU0NCgU\nCsnp7ErEtbW18nq9ysw0n1rKy8tTYWGhqTZp0iQdOnQoqgabmnwKBkNRPQdDy+VyKjMzhbGxKcbH\nvk41Njt2HzVtF+Slqb7eHFIxdHjf2BvjY1/dYzNQUQXS4uJiud1ubdmyRbNmzZIkbdq0STNnzozY\nt7S0VO+9956ptmvXLi1cuDCqBoPBkDo7+cdnR4yNvTE+9hU+Ng0tftU2mhfEnzQ6g/GzAO8be2N8\n4ldUJ/69Xq8WLVqkFStW6IMPPtCGDRu0Zs0aLVmyRFLX0VK/3y9J+spXvqKdO3fq4Ycf1r59+/TQ\nQw+pqqpKl1122eD/KQAghoUv9+RNdmlsLqfrASSOqK9EvfvuuzVz5kwtWbJE9913n2677TYtWLBA\nkjRv3jy98sorkqSxY8fq8ccf12uvvaaFCxfqL3/5ix599FGNGjVqcP8EABDjKg+a79B0xphMFsQH\nkFAchmEYp9/NOvX1rRyetxm326ns7DTGxqYYH/s62dis/v372rn/+F2avvhPE/WlCyZb0WLC4n1j\nb4yPfXWPzUCxfgIAWCgYCmn3YfMp+8KxLIgPILEQSAHAQgdqWhXoMB/xKRzLgvgAEguBFAAsVBk2\noWlUVooyU1kQH0BiIZACgIV2HTBPaCocx9FRAImHQAoAFgo/QjqZ60cBJCACKQBYpMXXocN1baYa\n148CSEQEUgCwyO5D5qOjSW6nCkalW9QNAFiHQAoAFqkMu3504ugMuV18LANIPHzyAYBFwm8ZOpnT\n9QASFIEUACwQMoxeAikTmgAkJgIpAFiguq5Nbf5OU40JTQASFYEUACxQecB8dDQ7w6OcTK9F3QCA\ntQikAGCBXQfDFsTn6CiABEYgBQALsCA+ABxHIAWAYdYe6FRVTYupxhFSAImMQAoAw2z3wSYZxvFt\nl9OhiaOXpgVHAAAgAElEQVQzrGsIACxGIAWAYVYRNqFp/Kh0eZJcFnUDANYjkALAMAu/QxML4gNI\ndARSABhGhmFEBFKuHwWQ6AikADCMahp8amwNmGrMsAeQ6AikADCMPtpXb9pO87o1KjvFom4AwB4I\npAAwjHbuNQfSM8ZkyuFwWNQNANgDgRQAhlH4EVKuHwUAAikADJtgKKSKKiY0AUA4AikADJOqI60K\ndARNtUljCKQAQCAFgGESvtxTXpZXmanJFnUDAPZBIAWAYbLroPkOTYUs9wQAkgikADBsKg+aj5Ce\nwel6AJBEIAWAYeHzd+pgTaupxoQmAOhCIAWAYbDnUJOME7ZdTocm5qdb1g8A2AmBFACGwa5D5utH\nx49KV5LbZVE3AGAvBFIAGAaRE5o4XQ8A3QikADDEDMOIOEJayIQmAOhBIAWAIVbf7FdjS8BU4wgp\nABxHIAWAIRZ+uj7V41Z+TqpF3QCA/RBIAWCIRZyuH5spp8NhUTcAYD8EUgAYYhETmsZxhyYAOBGB\nFACGUDAU0p7D5kA6metHAcCEQAoAQ+hgbZsCHSFTbTJHSAHAhEAKAENoV9j960flpCozLdmibgDA\nngikADCEdodNaDpzQrZFnQCAfRFIAWAIhU9omjYhy6JOAMC+CKQAMETaA506UNtqqk3jCCkARCCQ\nAsAQ2XOoWYZxfNvpcGjyeI6QAkA4AikADJHw60cL8tPlSXJZ1A0A2BeBFACGSPj1o6w/CgC9I5AC\nwBAJv2Uo648CQO8IpAAwBOqb/apv9ptq3DIUAHpHIAWAIRC+IH6Kx6UxuakWdQMA9kYgBYAhUBl2\n/WjhmEw5HQ6LugEAeyOQAsAQ2HXAfIS0cCyn6wHgZAikADDIOoMh7TncbKpNHscMewA4GQIpAAyy\nAzWtCnSGTDWOkALAyRFIAWCQVYZNaMrPTlF6SpJF3QCA/RFIAWCQVR4Im9DE0VEAOCUCKQAMsvAl\nn7h+FABOjUAKAIOoxdeh6nqfqTaZI6QAcEoEUgAYROFHR5PdTo3LS7OoGwCIDQRSABhE4dePThqd\nIbeLj1oAOBU+JQFgEIUfIeX+9QBwegRSABgkIcPQrkPmI6STxzKhCQBOh0AKAIPk0NE2+fxBU40l\nnwDg9AikADBIwu9fn5PpUXaGx6JuACB2EEgBYJBUHmRBfADoDwIpAAySiAXxuX4UAPqEQAoAg8Dn\n79SBmlZTjQXxAaBvog6kgUBAy5cv15w5czR//nytWbPmtM+pqqrSOeeco/fee69fTQKA3e051CTj\nhG2X06EJ+emW9QMAscQd7RNWr16tsrIyrV27VlVVVbrzzjs1btw4XXzxxSd9zr333qv29vYBNQoA\ndhZ+/eiE/HQlJ7ks6gYAYktUR0h9Pp/WrVune+65R0VFRVqwYIGWLl2qJ5544qTPefHFF9XW1jbg\nRgHAznYxoQkA+i2qQFpeXq5gMKjS0tKe2uzZs7Vt27Ze96+vr9e//du/6cc//rEMw+h1HwCIdYZh\nqJIJTQDQb1EF0pqaGmVlZcntPn6mPzc3V36/X/X19RH7r1q1SpdffrmmTJky8E4BwKZqGtvV3NZh\nqnHLUADou6iuIfX5fEpOTjbVurcDgYCp/ve//12bN2/WfffdN6AGXS4WArCb7jFhbOyJ8Rl+ew43\nm7YzUpM0JjdVDofDVGds7IuxsTfGx74Ga0yiCqQejycieHZvp6Sk9NT8fr/uvfderVixIiLARisz\nM+X0O8ESjI29MT7D58BR83XyxZNylZNz8hn2jI19MTb2xvjEr6gCaX5+vhoaGhQKheR0diXi2tpa\neb1eZWYev15q27Zt2r9/v2699VbTtaPf+MY3tHjxYt177719/p5NTT4Fg6Fo2sQQc7mcysxMYWxs\nivEZftsra03bE0alqb6+NWI/xsa+GBt7Y3zsq3tsBiqqQFpcXCy3260tW7Zo1qxZkqRNmzZp5syZ\npv1KSkq0fv16U+2zn/2s/vVf/1Vz586NqsFgMKTOTv7x2RFjY2+Mz/Do6Axqb9gp+zNGZ5zy756x\nsS/Gxt4Yn/gVVSD1er1atGiRVqxYoQceeEDV1dVas2aNVq1aJanraGlGRoY8Ho8KCgoinj9q1Cjl\n5OQMTucAYAN7q1sUDB0/E+SQNGkMM+wBIBpRX4l69913a+bMmVqyZInuu+8+3XbbbVqwYIEkad68\neXrllVd6fV74xf0AEA8qqszLPY3NS1OKJ+p7jgBAQov6U9Pr9WrlypVauXJlxGPl5eUnfd6OHTui\n/VYAYHsfVzWYtqey3BMARI31EwCgnwzD0MdhR0injs+yqBsAiF0EUgDop8N1bWrxmRfEnzqeI6QA\nEC0CKQD0U/jR0ewMj3JHeC3qBgBiF4EUAPop4vrR8SOYwAkA/UAgBYB+Cj9COoUJTQDQLwRSAOiH\nxtaAjtT7TDUmNAFA/xBIAaAfKsJO13uTXRo/Ks2ibgAgthFIAaAfwk/XTx43Qi4nH6kA0B98egJA\nP/Q2oQkA0D8EUgCIkj8Q1N7DLaYa148CQP8RSAEgSrsONipkGD3bTodDhWMyLewIAGIbgRQAohR+\n/ejE0enyJLss6gYAYh+BFACiFHn9KKfrAWAgCKQAEIVgKKSKg02mGhOaAGBgCKQAEIWqI63yB4Km\n2hSOkALAgBBIASAK4afr87NTNCIt2aJuACA+EEgBIArhE5q4fhQABo5ACgB9ZBhGxBHSKVw/CgAD\nRiAFgD6qbWxXQ0vAVGNCEwAMHIEUAPoo/OhoekqSRuekWtQNAMQPAikA9FHk9aMj5HA4LOoGAOIH\ngRQA+ogJTQAwNAikANAHLb4OHaxtNdWmFnD9KAAMBgIpAPRBxQHz0dEkt1MT8zMs6gYA4guBFAD6\n4OP95glNhWMy5XbxEQoAg4FPUwDog/J99aZtTtcDwOAhkALAabS1d2jP4WZTrWhCtkXdAED8IZAC\nwGns3Ncgwzi+7XY5NWUcR0gBYLAQSAHgNMr2hp2uHz9CyUkui7oBgPhDIAWA09gRFkiLJnK6HgAG\nE4EUAE6hocUfsf7odAIpAAwqAikAnEJ52NHRFI9Lk8aw/igADCYCKQCcQvj1o2cWZMvl5KMTAAYT\nn6oAcBKGYWjHHq4fBYChRiAFgJOoafDpaFO7qcb1owAw+AikAHAS4bPrM1OTNC4vzaJuACB+EUgB\n4CR6W+7J4XBY1A0AxC8CKQD0ImQYEYF0+qQci7oBgPhGIAWAXhyoaVVzW4epxoQmABgaBFIA6EX4\n0dGRI7walZViUTcAEN8IpADQix176kzbxRwdBYAhQyAFgDDBUEg79zeYasWTCKQAMFQIpAAQZveh\nZrUHgqZa8QQCKQAMFQIpAIQJv3503Mg0jUj3WNQNAMQ/AikAhOH6UQAYXgRSADhBoCOoigNNphrX\njwLA0CKQAsAJPj7QqM5gqGfb4ZDOLMiysCMAiH8EUgA4QXnY9aOTRmcq1ZtkUTcAkBgIpABwgrKw\n60enc7oeAIYcgRQAjmlsDWjPoWZTjQlNADD0CKQAcMy2iloZJ2x7kl2aOp7rRwFgqBFIAeCYLRW1\npu2ZZ+Qoyc3HJAAMNT5pAUBSR2dQ28OuHy2dMtKibgAgsRBIAUBdd2cKdJiXezprcq6FHQFA4iCQ\nAoCkLRVHTduTx41QZmqyRd0AQGIhkAJIeIZhaGvY9aOcrgeA4UMgBZDw9lW3qL7Zb6qVEEgBYNgQ\nSAEkvPDZ9aOyUjQ2N9WibgAg8RBIASS88EBaMmWkHA6HRd0AQOIhkAJIaPXNfu09bL47U+kUZtcD\nwHAikAJIaFsrzUdHUzxuTS3g7kwAMJwIpAAS2paPzYH0rMIcuV18NALAcOJTF0DC8ncEtWNvvanG\nck8AMPwIpAASVtmeOnV0Hr87k9Ph4O5MAGABAimAhBV+un7q+BFK8yZZ1A0AJK6oA2kgENDy5cs1\nZ84czZ8/X2vWrDnpvm+88YYWL16sc845R4sWLdJrr702oGYBYLCEDENbK823Cy2dyul6ALBC1IF0\n9erVKisr09q1a7VixQo9/PDDWr9+fcR+O3fu1K233qorr7xSL774oq666ip9+9vf1s6dOwelcQAY\niD2HmtXUGjDVuH4UAKwRVSD1+Xxat26d7rnnHhUVFWnBggVaunSpnnjiiYh9X3rpJc2dO1fXXnut\nCgoKdO211+r888/XK6+8MmjNA0B/hS+GPzonVfk53J0JAKzgjmbn8vJyBYNBlZaW9tRmz56tRx55\nJGLfyy+/XB0dHRH1lpaWfrQJAIMr/PpRjo4CgHWiOkJaU1OjrKwsud3Hc2xubq78fr/q681LpxQW\nFurMM8/s2f7444/1zjvvaO7cuQNsGQAG5kiDT1U15v845vpRALBOVEdIfT6fkpOTTbXu7UAg0NtT\nJEl1dXW69dZbNXv2bF100UVRNehigWrb6R4TxsaeGJ/Te3dHtWk7PSVJZ07Mkss5tH9njI19MTb2\nxvjY12CNSVSB1OPxRATP7u2UlJRen1NbW6sbbrhBDodDDz30UNQNZmb2/rqwHmNjb4xP7wzD0MYy\ncyCdf844jczNGLYeGBv7YmzsjfGJX1EF0vz8fDU0NCgUCsl57EhCbW2tvF6vMjMzI/avrq7Wdddd\nJ5fLpbVr1yo7OzvqBpuafAoGQ6ffEcPG5XIqMzOFsbEpxufUdh1s1IGaVlPt3GkjVV/fepJnDB7G\nxr4YG3tjfOyre2wGKqpAWlxcLLfbrS1btmjWrFmSpE2bNmnmzJkR+/p8Pi1dulRJSUn63e9+p5yc\nnH41GAyG1NnJPz47YmzsjfHp3V+3HjJtj8pK0aT8jGH9u2Js7IuxsTfGJ35FdeLf6/Vq0aJFWrFi\nhT744ANt2LBBa9as0ZIlSyR1HS31+/2SpN/+9reqqqrSypUrFQqFVFtbq9raWmbZA7BMZzAUcf3o\nJ2bky+FwWNQRAECK8gipJN1999360Y9+pCVLligjI0O33XabFixYIEmaN2+eVq1apcWLF2v9+vVq\nb2/XVVddZXr+4sWLtXLlysHpHgCisH13nZrbzMvRzZ0x2qJuAADdog6kXq9XK1eu7DVUlpeX9/ye\nBfAB2M3b2w+btiePzWQxfACwAdZPAJAQfP5ObQ5bDP8THB0FAFsgkAJICP/YWaOOEyZDuJwOnVc8\nysKOAADdCKQAEkL46fqzCnOVkZp8kr0BAMOJQAog7tU1tat8r/n2xp+YkW9RNwCAcARSAHFv445q\nGSdsp3hcKp3CvesBwC4IpADi3tsfmtcenX3mKCUnuSzqBgAQjkAKIK7tP9KiqhrzDTn+idn1AGAr\nBFIAcS18MlN2hkfTJmRZ1A0AoDcEUgBxKxQy9E5YIP3EjHw5uVUoANgKgRRA3Nqxt14NLQFTjdP1\nAGA/BFIAcWvDpv2m7Qmj0jUuL92ibgAAJ0MgBRCXDh1t1dbKo6ba/JKxFnUDADgVAimAuLRhU5Vp\nO83r1ryzxljUDQDgVAikAOJOi69Db31wyFT7VOk4eZJZexQA7IhACiDu/GXLAQU6Qz3bLqdDF80e\nb2FHAIBTIZACiCudwZA2/MN8un5O8ShlZ3gs6ggAcDoEUgBx5b0dR9QYttTTxXMKLOoGANAXBFIA\nccMwDP3pvX2m2rSCLE0anWlRRwCAviCQAogbH+1v0L5q833rOToKAPZHIAUQN/70rnkh/FFZKSqd\nMtKibgAAfUUgBRAXquvatLWi1lRbcO54OZ3ctx4A7I5ACiAu/HnTfhknbKd43Jp3NgvhA0AsIJAC\niHmt7R36W8RC+GPlTXZb1BEAIBoEUgAx7/X3DyjQcXwhfKfDoQUshA8AMYNACiCmNbcF9MrGvaba\nuUV5ysn0WtQRACBaBFIAMe3Fv+2Rzx801S45f6JF3QAA+oNACiBmHTraqje2HDDVPjEjXxNHZ1jU\nEQCgPwikAGLWujcqFQwdn1vvdjl1xQWTLewIANAfBFIAMWnnvnpt/ti87ujFcwqUO4JrRwEg1hBI\nAcSckGHof16rMNUyUpP0hblcOwoAsYhACiDmbNxerb2Hm021RfPOUIqHdUcBIBYRSAHElEBHUH98\ns9JUG5ObqgtKxlrUEQBgoAikAGLKnzftV12T31S78tNT5HbxcQYAsYpPcAAxo6k1oJffNi+CXzQh\nSyVTci3qCAAwGAikAGLGs2/uUnvg+CL4DklXXzhVDofDuqYAAANGIAUQE7ZV1urNrQdNtbkzR7MI\nPgDEAQIpANtrbA3oP1/eYaolu5360gWFFnUEABhMBFIAtmYYhtb87w41tXWY6ldfOEU5mSyCDwDx\ngEAKwNZee/+AtlUeNdVKp4zUp88ZZ1FHAIDBRiAFYFsHalr0VNgdmTLTknX9pUVMZAKAOEIgBWBL\nHZ1BPfJimTqDIVN96ReKlZmabFFXAIChQCAFYEvr3tilqpoWU+2z5xZoZiFrjgJAvCGQArCdD3cd\n1Z837TfVxuel6cufZlY9AMQjAikAW6mub9OjL5WZam6XU8sum6Ekt8uirgAAQ4lACsA26pv9+rf/\n2aLmXpZ4Gp+XblFXAIChRiAFYAstvg49+NQW1Ta2m+pnT87VhbNY4gkA4hmBFIDl/IGgHnpmqw7U\ntprqE/MzdNNlM1jiCQDiHIEUgKU6gyE9/NwHqjzYZKrn56TqX64qUYrHbVFnAIDhQiAFYJlQyNCj\n/69M23fXmerZGR599+pSZaax3igAJAICKQBLhAxDT6zfqffKj5jq6SlJuv3qUuWO4D71AJAoOBcG\nYNi1Bzr12Es79P5HNaa6J8ml/+/KEo0dmWZRZwAAKxBIAQyr2kaffrHug4i7MLldDt1yxVkqHJtp\nUWcAAKsQSAEMm4/2N+hXz30Qsc6o0+HQsoUzNGNSjkWdAQCsRCAFMCz+uvWgfvennQqGDFM9zevW\nPy+eqemEUQBIWARSAEOqMxjSujcqtf69/RGPjclN1bevOFv5OakWdAYAsAsCKYAh89H+Bv3uTzt1\nMGzBe0maWZijmy+bqVQvH0MAkOj4SQBg0LW2d+iZ1yv15taDvT7+ufMKdOWnp8jp5A5MAAACKYBB\nZBiGNu6o1v9s+FhNYROXJMnldOi6z5+p+WePtaA7AIBdEUgBDIq9h5u17i+VEXdd6jYhP13XX1Kk\nSaNZ1gkAYEYgBdBvhmHoo/0NevntvfrwJEHUk+TS5fPP0EXnjpfLyc3hAACRCKQAohYyDG2tqNX/\nvrNXlQeaTrpf6ZSRuvaz07gNKADglAikAPqssTWgTeVH9MbmAzrQy8z5btkZHn11wTTNmjZSDgcT\nlwAAp0YgBXBKPn+n3v+oRhvLqlW2p14hwzjpvhmpSVpwboEWzB6vFA8fLwCAvuEnBoAIjS1+7dhb\nr/c/rtXWilp1dIZOuX9uplefP3+C5p09Rp4k1zB1CQCIFwRSAPL5O7VzX4PK9tZpx576U56OP9G4\nkWm69BMTNad4lNwuJiwBAPqHQAokmEBHUFU1rdpb3ax91c3ac7hZ+6tbTnkq/kSeJJfOmTZSc2eM\n1owzcuTkGlEAwABFHUgDgYDuvfde/fnPf5bX69XXv/513XDDDb3uW1ZWpnvvvVcfffSRpk6dqnvv\nvVczZswYcNMATs/n79SBmhZV1/lUXd+m6ro27T/SooO1bX0On91cTodmnpGj82fk65wpefIkc1oe\nADB4og6kq1evVllZmdauXauqqirdeeedGjdunC6++GLTfj6fT8uWLdOiRYu0atUqPfnkk7rpppu0\nYcMGeb0sAQMMREdnSM1tAdU1+9XQ7D/ha7vqm/2qaWxXQ7N/QN/Dm+zSmQVZOnvKSM0pGqX0lKRB\n6h4AALOoAqnP59O6dev0+OOPq6ioSEVFRVq6dKmeeOKJiED68ssvKyUlRXfccYck6fvf/77efPNN\nvfrqq1q8ePHg/QmAGGMYhgKdIfk7ggoEgmrvCMrfEVS7Pyifv1Nt/k75jv1q83eqrb1TLb4ONbcF\n1NzWoWZfh/yB4KD35XY5NGXcCBVPzFbxpBydMSaDhewBAMMiqkBaXl6uYDCo0tLSntrs2bP1yCOP\nROy7bds2zZ4921SbNWuWNm/e3OdAuvtgo5qafAoGozu9aAUjylOgVutPu4a6nuRyOXW0pUNNzT4F\ng6GTvlZ3vft5OmE/I+w33fv0POeEFzWMY7sZXXsZx55ndP1fV+1YMWSYHwsZXa9lHHvNkGF0vZ5h\nKBQy10KGoVCo6zW6vhqmr8HuX8Hu7ZA6Q4aCwZA6g4Y6TV9D6ugMqaP76wm/Ah1BWf2vxSFpdG6q\nJuZnaEJ+hiaOzlDh2ExmyAMALBFVIK2pqVFWVpbc7uNPy83Nld/vV319vbKzs3vqR44c0bRp00zP\nz83NVUVFRZ+/37f/7Y1o2gMQxiEpd4RX+dkpys9J1eicVE0cnaGCUenyJjOnEQBgD1Gfsk9OTjbV\nurcDgYCp3t7e3uu+4fsB6L8kl1PZGR5lZ3qUk+FVdqZHuSO8mjhmhDJT3MrN9CrJzWl3u3AdWxrL\nxRJZtsPY2BvjY1+DNSZRBVKPxxMRKLu3U1JS+rQvE5qASJ5kl1KS3Ur1upWakqR0b5JSU9xK8yYp\nLSVJmWnJykzzHPuarBHpXdsZqUncmjMGZWamnH4nWIKxsTfGJ35FFUjz8/PV0NCgUCgk57HJDrW1\ntfJ6vcrMzIzYt6amxlSrra1VXl5en7+f0+mQ5Rfb2cxwZY+TfR+HHN2/Cav3vuE4YaO313Q4Ttjv\nxJc+9oAjfD/HsVc8tnt3GHM4ul7D4TDv43ScUDu2LXX92+p+zOns2t/pcHTVnQ65nA45HA45nV11\nl8spl8Mhl6vrMdcJ+7ndTrmdTrldDrldTrlcXb9PdruU5Hb2/Ep2O+V2O+VJcsmT5JI32SVPskvJ\nSa5+reUZDHSoIdARUXe5nMrMTDl2/fWp77CE4cXY2BdjY2+Mj311j81ARRVIi4uL5Xa7tWXLFs2a\nNUuStGnTJs2cOTNi35KSEj366KOm2ubNm3XzzTf3+fu98NPLVF/fqs7T3LYQw8vtdio7O42xGSSh\noKHQEPyXVzAYYnxsirGxL8bG3hif+BXViX+v16tFixZpxYoV+uCDD7RhwwatWbNGS5YskdR1BNTv\n71r78HOf+5yam5v1wAMPqLKyUvfff7/a2tp0ySWXDP6fAgAAADEr6itR7777bs2cOVNLlizRfffd\np9tuu00LFiyQJM2bN0+vvPKKJCk9PV2//e1vtWnTJl1xxRX64IMP9Oijj3INKQAAAEwchs0X0OS0\nsP1wyt7eGB/7Ymzsi7GxN8bHvrrHZqBYPwEAAACWIpACAADAUgRSAAAAWIpACgAAAEsRSAEAAGAp\nAikAAAAsRSAFAACApQikAAAAsBSBFAAAAJYikAIAAMBSBFIAAABYikAKAAAASxFIAQAAYCmHYRiG\n1U0AAAAgcXGEFAAAAJYikAIAAMBSBFIAAABYikAKAAAASxFIAQAAYCkCKQAAACxFIAUAAIClCKQA\nAACwFIEUAAAAliKQAgAAwFK2DqQ33nijnn/+eVPtv/7rv1RUVKTi4uKerz/5yU8s6jBx9TY2DQ0N\nuvXWWzVr1iwtWLBAL774okXdQZJ27Nhheq8UFRXpy1/+stVtJaxAIKDly5drzpw5mj9/vtasWWN1\nSzhmw4YNET9XbrvtNqvbSniBQEALFy7Ue++911OrqqrSDTfcoHPOOUdf/OIX9dZbb1nYYeLqbWzu\nv//+iPfR73//+z6/pnsoGh0owzB0//336+9//7sWLlxoeqyyslLXXnutvvWtb8kwDElSSkqKFW0m\npFONzV133aVAIKBnnnlGmzdv1j333KMzzjhDZ511lkXdJraKigpNnz5djz32WM97xe225Vs+Iaxe\nvVplZWVau3atqqqqdOedd2rcuHG6+OKLrW4t4VVUVOjCCy/U/fff3/Ne8Xg8FneV2AKBgL7zne+o\noqLCVP/Wt76loqIi/fGPf9SGDRt0yy236JVXXtHo0aMt6jTxnGxsdu3ape9+97u6/PLLe2rp6el9\nfl3b/XSqrq7WHXfcoaqqKmVmZkY8XllZqcsvv1w5OTkWdJfYTjU2+/fv1xtvvKHXX39dY8aM0eTJ\nk7Vlyxb94Q9/0MqVKy3qOLFVVlaqsLCQ94oN+Hw+rVu3To8//njP0eqlS5fqiSeeIJDaQGVlpaZO\nncp7xSYqKyt1++23R9Tffvtt7d+/X08//bQ8Ho+WLVumt99+W+vWrdMtt9xiQaeJ52Rj0/3Y0qVL\nlZub26/Xtt0p+7KyMo0dO1bPPvus0tLSIh6vrKzUpEmThr8xnHJstm7dqrFjx2rMmDE9tdmzZ2vL\nli3D3SaO4b1iH+Xl5QoGgyotLe2pzZ49W9u2bbOwK3SrrKzUGWecYXUbOObdd9/V3Llz9dRTT/Uc\nsZakbdu2acaMGaaj1/ycGV4nG5uWlhZVV1cP6GeO7Y6QfuYzn9FnPvOZXh87evSoGhsb9eyzz+rO\nO++U1+vVl7/8ZX39618f5i4T06nGpqamRqNGjTLVcnNzdfjw4eFoDb2orKxUKBTSwoUL1dLSovnz\n5+t73/teVKdQMDhqamqUlZVlumQiNzdXfr9f9fX1ys7OtrA77N69W3/961/1m9/8RqFQSJ///Of1\n7W9/W0lJSVa3lpCuueaaXusn+zlTXV09HG1BJx+bXbt2yeFw6De/+Y3efPNNZWVl6YYbbtDixYv7\n/NrDHkj9fv9J//Hk5eWd8nrQ7j9wXl6eHnnkEZWVlen++++Xy+XSkiVLhqrlhDGQsfH5fBEf3snJ\nyero6BjUHnHcqcYrJydH+/bt04QJE7Rq1So1NTXpgQce0J133qlf/epXw9wpfD6fkpOTTbXu7UAg\nYEVLOObgwYNqb2+Xx+PRQw89pKqqKt1///3y+/1avny51e3hBCd7H/Eest6uXbvkdDo1efJkfe1r\nX/Ptcy0AAAPRSURBVNO7776rH/zgB0pPT9eCBQv69BrDHki3bt2q6667Tg6HI+Kxhx9+WBdddNFJ\nnztnzhy98847GjFihCRp6tSpqqur05NPPkkgHQQDGRuPxxMRPgOBgLxe76D3iS6nG6+NGzfK6/XK\n5XJJklatWqUrrrhCNTU1ysvLG+52E5rH44n4odm9zaRMa40dO1YbN27suS6+qKhIoVBI3/ve93T3\n3Xf3+v6CNTwejxobG001fs7Yw+LFi3XhhRf2vI+mTZumPXv26Mknn7RvID3vvPNUXl7e7+d3h9Fu\nhYWFHK4fJAMZm/z8fNXU1JhqtbW1BJ8hFO14TZ48WVLX5DTGZXjl5+eroaFBoVBITmfXpfu1tbXy\ner29Tt7E8Aofg8mTJ8vv96uhoYHLKWwkPz8/YmY3P2fsI/x9VFhYqI0bN/b5+bab1HQqzzzzjC65\n5BJTbceOHSosLLSoI3QrKSnRwYMHTf9x8I9//MM0iQPDp7KyUrNmzdKBAwd6amVlZXK73Zo4caKF\nnSWm4uJiud1u0+SLTZs2aebMmRZ2BUn629/+pvPPP19+v7+nVlZWpqysLMKozZSUlKisrMx0toGf\nM/bwi1/8QjfccIOptmPHjqgmC8ZUIP3kJz+pmpoarV69Wvv27dPLL7+sxx9/XMuWLbO6tYRXUFDw\n/7d3hyyqhGEUxw+mFccPoEnMKlgMssW0SQwKCitscZtgEhQZNwiCiAiChgExadkiis1idsFgEgWD\n0eBH2JsuyHKD5d5Xrv/fB3g5MGEOL888o+fnZ5XLZe12O31+fmqxWOj19dV0tIcUDAYVCARk27b2\n+72+vr5Ur9eVzWbl9XpNx3s4T09PSqVS+vj40Ha71XK51Gg0YtToDkSjUbndbtVqNR2PR61WK7Xb\nbb2/v5uOhh9isZh8Pp8qlYoOh4Mcx9F2u+WHH3cgkUhovV5rNBrpdDppMploNpupUCjcfMZdF9Kf\nszt+v1+O42iz2SiVSqnb7apcLuvl5cVQwsf1p7mqVqsly7KUzWblOI6azSY3QIb8/trRsizl83kV\ni0XF43FVKhXT0R5WtVpVKBTS29ubGo2GSqXSzbNV+Hs8Ho+Gw6Eul4symYxs21Yul2N7y524fte4\nXC4NBgOdz2el02nN53P1+32W4hty/WzC4bB6vZ6m06mSyaTG47E6nY4ikcjt531fL5ICAAAA/rG7\nviEFAADA/49CCgAAAKMopAAAADCKQgoAAACjKKQAAAAwikIKAAAAoyikAAAAMIpCCgAAAKMopAAA\nADCKQgoAAACjKKQAAAAw6hfAhaRgDqK4nQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x123508358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 15\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = [sigma(x) for x in xvals]\n",
    "plt.plot(xvals, ys, lw=3)\n",
    "plt.ylim(-.05, 1.05)\n",
    "plt.title(\"sigmoid\")\n",
    "file_helper.save_figure('sigmoid-curve')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqAAAAEnCAYAAAB2YfE4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XtcVHX+P/DXXBiG+x0ExAteAEO5q2xeyltZm+L2y1I3\nrW9mm5dq18rLutFtvVRba2ttZa5t2rZWa21rN3Mt2yzvIiqCXERBuQ13mIFhLr8/BoYZAWGA4ZyB\n1/Px8NHM4cyZ1wx05j2f25EYjUYjiIiIiIj6iFToAEREREQ0sLAAJSIiIqI+xQKUiIiIiPoUC1Ai\nIiIi6lMsQImIiIioT7EAJSIiIqI+xQKUiIiIiPoUC1AiIiIi6lMsQImIiIioT7EAJUGtW7cO06dP\nFzqG2aeffoqoqChcu3atw32uXr2KyMhIfPbZZ32YjIh62969exEZGXnD/9+7yh7nMq1Wi82bN2Pf\nvn12fZ6eeO+99zBp0iTExsbirbfe6tYxpk2bhnXr1vVysu7rynvcm387A5Vc6AA0sC1fvhxLliwR\nOobZLbfcgj179iAgIEDoKERkZxKJBBKJpFeOZY9zWVlZGd577z1s3rzZrs/TXXV1dXjppZcwbdo0\nPPjggxg8eHC3jvPmm2/Czc2tl9N1X1fe49782xmoWICSoMLCwoSOYMXHxwc+Pj5CxyAiB2OPc5nR\naOyT5+mu6upqGAwGTJ8+HQkJCd0+TmRkZC+m6jkxvcf9Gbvgye7Onz+PBx54AImJiYiPj8eDDz6I\nM2fOAADWrl2LadOmmffV6XR45ZVXMHXqVMTExODhhx/GZ599ZtXVsW7dOixduhQfffQRZs6ciZiY\nGCxYsAD5+fn47rvvcNdddyE2Nhbz589HZmamVZbDhw9j0aJFSExMxIQJE7B69WoUFxebf95et8r+\n/fsxd+5cxMTE4Fe/+hUuXLhgz7eLiOzAaDTizTffxK233orY2FisWLEC1dXVbfa7ePEiHnnkESQk\nJCAhIQErV65EQUGB+efHjh1DZGQk9uzZg2nTpiExMRE///yz1bnsmWeewaRJk9oUkC+++CKSk5Oh\n1+sBAAcOHMCiRYsQHx+PsWPHYvbs2fjggw8AmIb6zJgxAxKJBGvXrjV3CVve7urzdPaaOnKj8+Wn\nn36K6dOnQyKRYN26dYiKiurwOPv27TOfQ5OTk/HUU0+htLTU/PPru+DLysrw29/+FhMmTMCECROQ\nmpqK1157zeqzYtq0adi2bRs2bdqEiRMnIj4+Hk8++STUajXeeecdTJ06FYmJiXjsscesfs8GgwEf\nfPAB7rrrLsTExODWW2/Fn/70J2i1WvM+138udfVvh2zDApTsqq6uDkuXLoWfnx/+8pe/4LXXXoNG\no8HSpUtRV1fXphvjD3/4A3bt2oXFixfjzTffhL+/P5555pk2XR2nT5/GBx98gPXr12PTpk3Izc3F\nsmXLsHnzZjz66KN47bXXcO3aNTz11FPmx/z73//GQw89hJCQELz66qtYv3490tLScO+996KiogJA\n226VgwcP4vHHH0dUVBTefPNNzJ49G0899RS7XogczEsvvYQ333wT8+fPxxtvvAFfX1+88sorVvvk\n5+djwYIFqKysxJYtW7Bx40YUFBRgwYIF5nNEizfeeANr167FM888g7i4OKtzx5w5c1BeXo4jR46Y\n9zcajfjmm29w5513QiaT4fvvv8fKlSsxduxY/PWvf8W2bdswZMgQvPjii0hPT0dgYCC2bdsGo9GI\n5cuX44033gAAq3NPV57n0qVLXX5Nljo6X953332oqKjALbfcYpVvz5497R7n5MmTWLNmDW6//Xa8\n++67WL9+PX7++WesXr263f21Wi0WL16MtLQ0bNiwAZs2bUJWVhZ27tzZ5ry7c+dOFBUV4bXXXsOj\njz6Kffv24e6778ZPP/2EF198EatXr8Z///tfvP766+bH/OEPf8DmzZsxa9YsvPXWW/j1r3+N3bt3\nY/ny5eZ9rv8c6MrfDtmOXfBkV7m5uaisrMT999+P2NhYAEB4eDg++ugj1NfXW+175coVfPbZZ1i7\ndq15/M3NN9+MsrIyHD582GpftVqNrVu3YtiwYQBMrRJ79uzB3//+d4wfPx4A8NBDD+Gll15CXV0d\n3Nzc8PLLL2PKlCl4+eWXzceJj4/HHXfcgb/97W948skn2+R/4403EBMTYx6DdfPNNwMAXn311V54\nd4ioL9TW1mLXrl146KGH8OijjwIw/b9cXFyMH3/80bzfX/7yF7i4uOC9996Dq6srACA5ORnTp0/H\njh07rL7QLlq0CLNmzWr3+RITExESEoIvvvgCycnJAIAjR45ApVJh7ty5AEznxl/96ldYu3at+XGx\nsbGYMGECjh49inHjxplbFYcMGdJuN3VXnmfbtm1dfk0tjEZjl86XlvnGjRvX7ntx8uRJuLi4YOnS\npXBycgIAeHt74+zZs+3u//nnnyM/Px979+41H3/ChAmYMWNGm309PDzw5z//GVKpFMnJyfj0009R\nWlqKTz75xDym9NChQzh16hQAICcnB//617/w5JNPYunSpeb3IiAgAE8//TR++OEHTJkyxeo5uvq3\nQ7ZjCyjZ1ahRo+Dr64tHHnkEqampOHDgAPz9/bF69WoEBQVZ7Xv06FEAwO233261/Ze//GWb43p6\nepqLTwDw9/cHAMTExJi3eXt7AwBqamqQl5cHlUqFO+64w+o4YWFhiI2NxbFjx9o8R2NjIzIyMnDr\nrbdabZ89e3a7Y7OISJzS0tKg1+txyy23WG2fPXu21f2jR49iwoQJcHZ2hl6vh16vh6urKxISEvDT\nTz9Z7dvZuMU5c+bg22+/hU6nAwB88cUXGDp0KMaOHQvA9AV548aNUKvVOH/+PL788ku8/fbbAGDV\nHdyZzp7HltfUojvny46MHz8earUav/zlL/Hqq6/ixIkTuPnmm61aHC0dPXoUYWFhVl36bm5ubX53\nADBu3DhIpa1ljJ+fH8LDw60mNPn4+KCmpgaAqaFCIpHgzjvvtDpOS2txe6/r9OnTXfrbIduxACW7\ncnV1xT/+8Q/ccsst+Prrr7Fq1SokJycjNTW1zUm2srISAODr62u13c/Pr81x3d3d230+Z2fndre3\njNdpb3Z7QECA+QR1/WOMRmObSUmBgYHtPgcRiVPL///X/798/fmgqqoKX375JW666Sbzv+joaBw6\ndAhlZWXm/SQSibk1sSNz585FdXU1/ve//6GpqQnffvstUlJSzD+vrKzEqlWrkJiYiHvvvRdvvPEG\n6urqALQ/+ai7z9PV12SpO+fLjsTGxmL79u0ICwvDe++9h1//+teYMmUKdu/e3e7+FRUVbT4DgNZG\nBkvtzZxXKpUdZmnJff2xZDKZVaHa3mM6+9sh27ELnuxu2LBh2LJlC4xGI9LT0/Hvf/8bH374IYYM\nGWK1X0uLaEVFhVXraHl5eY8zeHl5AUC7J9yysrJ2Z757e3tDKpVCpVJZbW8plInIMfj4+MBoNEKl\nUln1nFRVVVnt5+HhgV/84hd46KGH2hSBMpnMpuccNmwYxo0bh6+++goSiQQ1NTW46667zD9fvXo1\n8vPz8f777yMmJgZOTk5oaGjARx991KvP053X1J3z5Y3cfPPNuPnmm9HY2IgjR47g/fffxx//+EfE\nxsYiOjraat9Bgwbh+PHjbY7Rm58DKpUKwcHB5u06nQ6VlZXtvq6u/u2Q7dgCSnb1zTffIDk5GeXl\n5ZBIJIiJicEzzzwDDw8PFBUVWe0bHx8PqVSK/fv3W22//n53hIeHw9/fH1988YXV9oKCApw+fRqJ\niYltHqNQKBAXF9fm+Q8ePMhJSEQOJC4uDkqlEl9//bXV9oMHD1rdT0pKQm5uLiIjI61aDP/2t7/h\nwIEDNj/v3LlzcejQIezbtw8JCQkIDQ01/+zUqVOYNWsWEhMTzWMjDx06BKC1BbSrRe+Nnqc7r6k7\n58uObNmyBffccw8AUw/V1KlT8dRTT8FoNLa7iHtSUhIKCgqsVjBpbGzE//73vy4/Z0fGjx8Po9Fo\ntbA/YJqlbzAY2n1dXf3bIduxBZTsKj4+HgaDAcuXL8fDDz8Md3d3fPnll6irq8OsWbPw6aefmvcN\nCwvD3XffjVdffRVarRaRkZHYv38/vv/+ewCwGutjK4lEgtWrV2P9+vVYvXo15s6di4qKCrzxxhvw\n8fHBAw880O7jfvvb3+KBBx7AypUrce+99yIvL888TouIHIOrqyuWL1+OrVu3wsXFBRMnTsT3339v\nPre0WLFiBe677z4sW7YMCxYsgEKhwJ49e3Dw4EGrmdRd7SK/4447sGnTJnz99ddITU21+tnYsWPx\nn//8B2PGjMGgQYNw8uRJvPPOO5BKpVCr1QBahxr9/PPPCA8P73Ciz42ep6uvyVJ3z5ft+cUvfoG/\n//3vWLt2LebMmQOtVot3330X3t7emDhxYpv977rrLmzfvh3Lly/HE088AQ8PD+zcuRMVFRUICQnp\n8vO2Z8SIEZg3bx5ef/11aDQaJCUlISMjA9u2bcPEiRMxefLkNo/p6t8O2Y4toGRXAQEB2LFjBzw8\nPLBhwwb85je/wYULF/CXv/zFPFvdsjVxw4YNuO+++7Bz506sWLECJSUl5sHqlmOu2muB7KxVsuXE\nc/nyZaxcuRIvvfQSEhIS8Mknn7Q7zhQwzTLdvn07SktLsWrVKnz88cfYtGmTze8DEQlr2bJlWL9+\nPb755hssX74c2dnZVjPQASAiIgL/+Mc/IJVKsWbNGjzxxBNQqVR48803rWZhd3SuuX67j48PJk+e\nDJlM1mZy5UsvvYRx48bhxRdfxMqVK/Hdd9/hhRdewKRJk3Dy5EkApgL0wQcfxLfffouHH37YPNHI\nlufp6mu6XlfPl52ddydPnoxXXnkF2dnZWLVqFZ588km4u7tj165d8PT0NB+j5TgymQx/+9vfEB0d\njeeeew5r167F6NGjMWPGjDafAV39HLDctnHjRqxcuRL79u3DsmXL8OGHH2LJkiVtGhYsH9OVvx2y\nncTI6bwkEtXV1eZlMFrG6gCmLpxPP/3Uaq07IiLqf3JycpCXl9dmiat77rkHwcHBHbbakuNhFzyJ\nhouLC1588UWMGTMGS5Ysgaurq3nB+d/85jdCxyMiIjtTq9V4/PHHsXDhQsycORM6nQ5ffvklzp8/\nj6efflroeNSL2AJKopKZmYk///nPOHPmDDQaDcLCwrBgwQIsXLhQ6GhERNQH9u/fjx07diA3NxdG\noxFjxozB8uXLzYvtU//AApSIiIiI+hQnIRERERFRn2IBSkRERER9igUoEREREfUpUc+CNxqNqKio\nh8Eg7DBVqVQCX183UWQRWx5mYRZHziOVSuDn5y5oBnsTy3kUEN/vnlmYxVHziC1Ld86jom4BlUgk\nkEqFv+ShVCoRTRZAXHmYhVlsJaY8Yshgb2J5rwHx/e6ZhVlsIaY8YsvSrcf1cg4iIiIiohtiAUpE\nREREfarbBahWq8Vdd92F48ePd7hPRkYG5s+fj9jYWNxzzz04f/58d5+OiIiIiPqJbhWgWq0Wv/vd\n75CTk9PhPhqNBsuWLUNSUhL27t2L2NhYPPLII2hoaOh2WCIiIiJyfDYXoLm5uZg/fz4KCwtvuN8X\nX3wBFxcXPPXUUwgPD8fvf/97uLm54euvv+52WCIiIiJyfDYXoMeOHUNycjL27NmDG13FMz09HQkJ\nCVbb4uPjcfr0adtTEhEREVG/YfM6oAsWLOjSfqWlpRg9erTVNj8/vxt22xMRERFR/2e3hegbGhqg\nUCistikUCmi1WpuOI5MJP1G/JYMYsgDiysMs7RtIWQwGIzRaHTSNejRodWjU6tGg1aOxSQ9tk+m/\nTToDtE0GNOn00BmMkEilUKu10OoM0OlN//QGo+m/eiP0BiMMBtN/W28bYDSans9gNMLLTYFf3xaB\nIUEe3c5ur/dEq9Xi2WefxbfffgulUon/+7//w4MPPtjuvt9//z3+/Oc/4/LlyxgyZAgef/xxTJs2\nzfzzxMRE1NfXm3ucJBIJTp06BRcXF7tkJyLqC3YrQJ2dndsUm1qtFkql0qbjeHqK5yQrpiyAuPIw\nS/scMYteb0BFTSPKqzWorG1ARU0jqusaUVXXiJo6LWrVWtTUa1Hf0IR6TRPUDTo7J29fUbkah8+V\nICZykCDPfyNbtmxBRkYGdu3ahcLCQqxZswahoaGYNWuW1X5ZWVlYtWoV1q5diylTpuCHH37AY489\nhn/961+IiIhASUkJ6uvrceDAAatzJ4tPInJ0ditAg4KCUFZWZrVNpVIhICDApuPU1Gig1xt6M5rN\nZDIpPD1dRJFFbHmYxTGzaJv0uFZej+JyNYrL1SipVKOsqgGqKg0q6xpxg+HdgpBIAJlUAmnzlT+k\nEgl8PJ2RGOGPysr6bh+35b3pTRqNBp988gl27NiByMhIREZGYunSpdi9e3ebAnTfvn1ITk7GokWL\nAACLFi3CwYMH8dVXXyEiIgJ5eXkICAhAaGhor2YkIhKa3QrQmJgYbN++3Wrb6dOn8Zvf/Mam4+j1\nBuh0whd9gLiyAOLKwyztE0OWek0Tcq7V4mx2KS4V1aCgtA5llRr0pMaUSSVwc3GCm1IOV2c5XJzl\nUCpkUDrLoXSSwVkhg8JJBmcnGRROUjjLZXCSS+Ekl8JZIYOvjxsaNI2AEXCSSyGTSiCXSSGTmW6b\n/8lMxaZE0vGl3oR+f6+XmZkJvV6P2NhY87aEhAS8/fbbbfadN28empqa2myvq6sDAOTk5GDYsGF2\ny0pEJJReLUBVKhU8PDzg7OyM2267Da+++io2btyIe++9Fx9++CHUajVmz57dm09JRNeprtci83Il\nMq9U4mJBFYrK1V1+rIerE3w9lfD1cIavhxLeHgp4uing5aaAh6sCHq5OcHdxgrOT7IZF4Y3I5VL4\n+LihsrJedMVjbygrK4O3tzfk8tbTq5+fHxobG1FZWQkfHx/z9vDwcKvHZmdn48iRI1i4cCEA07J3\nGo0G999/Py5duoQxY8Zg/fr1LEqJyOH1qAC9/gNo0qRJ2Lx5M1JSUuDu7o633noLqamp+OijjxAR\nEYHt27fbPAaUiG7MaDTiSkkdTmeX4UxuOS4X195wf4VcimB/N4T6uyHYzxWDfF0R5OMKf28llAq7\ndYoMGBqNpt0JmABuOAmzoqICq1atQkJCAqZPnw4AyMvLQ01NDVavXg03Nzds374dDzzwAL788ku4\nurra70XQgFRYVofSKg3c3ZTQN+kwMtQLTnLhJ1JS/9SjT5sLFy5Y3c/MzLS6P3bsWOzdu7cnT0FE\nHSgqr8dP54px/EIpSqs07e4jk0owdJAHbhrhj1BfFwwOcMcgX1dIpd1rvaTOdTQBE+h48pBKpcKD\nDz4IiUSCrVu3mrfv2LEDOp3O/LhXXnkFU6dOxXfffYc777yzy5nEsBoDMLBWh7CF0Fl0egP+eSAb\n+48XWG0PC3THY/9vHIJ8hfmyI/T7cj0x5RFjFluxuYPIgTTpDDh2oQTfp11F7tWadvcZEuSO6OF+\niBrqg5GhXnBzderXXd5iExQUhKqqKhgMBkilphOzSqWCUqmEp6dnm/1LSkqwePFiyGQy7Nq1y6qL\n3snJCU5OTub7CoUCgwcPRklJiU2ZxLQaAyCuPAM9S1VtI1798DjO5Za3+VlBaR2e23kcT/06EfGR\ngX2erYWYfkeAuPKIKYutWIASOYA6TRMOnCjA96evokZtPWlFIgEih/ggMTIQsSP94ePhLFBKAoCo\nqCjI5XKkpaUhPj4eAHDixAlER0e32Vej0WDp0qVwcnLC+++/D19fX6ufz5w5EytWrEBKSgoAQK1W\n4/Lly23GjnZGDKsxAOJfHWKgZdHpDUjdcQwFpaZJbzKpBHckD4O/jwu+OXIZ11T1qNM04bl3j+D3\nixMwKsy7z7IB4vodiS2PGLPYigUokYjVaZrw9dEr+O+pQjRq9VY/GxzghkljgzHxpkHwdFN0cATq\na0qlEnPnzkVqaio2btyIkpIS7Ny5E5s3bwZgPVnzrbfeQmFhId5//30YDAaoVCrzMdzd3TF16lS8\n/vrrCAkJgY+PD7Zu3Yrg4GBMnTrVpkxiWI3BkpjyDOQsnx++ZC4+vdwVWDFvLCKH+sDHxw0TowLx\n1mfncDpbBYPRiHf3ZeDZB8cLMiZUTL8jQFx5xJTFVixAiUSoSWfAf08W4j8/5UPT2LrQu0wqQUJE\nAGYkhmFEiGe3Z6KTfa1btw7PPfcclixZAg8PDzz++OOYMWMGAOvJmvv370dDQwPmz59v9fiUlBRs\n2rQJTz/9NJycnPDkk0+itrYWycnJeOedd/h7px67pqrHvp/yAQBSiQRP/L8YDB3UelUxF2c5Vswb\niz/uOoFLRbUoKlfji5/zkTLZttZ3oo6wACUSmXN55di1PwtlVQ3mbXKZBJPHhWD2xCHw93LcMT8D\nhVKpxKZNm7Bp06Y2P7OcrPnVV1/d8DgKhQJr1qzBmjVrej0jDVwGoxF//zoTOr1pNeDbxodZFZ8t\npFIJltweiRf+fgJ6gxFf/HwZSVFBCPV36+vI1A+xACUSiRq1Fv/8bzaOnG+dYCIBcPO4YKRMGg5f\nTy5hRkQ9dyyjBNmF1QCAQG8XzJk0vMN9hwR54PYJQ/DFz5ehNxjx4YGLePK+uL6KSv0YC1AiETh3\nqRw79l1AdX3r8j0RYd5YMGMUhgS1bZkgIuoOo9GIr49dMd//9W2j4ewku+Fj7vrFMBzNKIGqugEZ\n+ZUoKK1DWKC7vaNSPyf8AlJEA5hOb8Ceg9l4dc8Zc/HpppTjwdmReHphHItPIupVFwuqcKXENPFo\n2CAP3DTMt5NHAAonGW4bP8R8/9vr1gsl6g4WoEQCqVFr8eqeNHxzrPVkHj3cFy8unYDJMSGcaEJE\nvc5ysflZSWFdPs/cPHYQXJ1NnaZHMoqtemuIuoMFKJEACkrr8MJ7J5B5pQqAaXb7fdNH4Yn5MfBy\n5zqeRNT7SivVSMs2LfXl7a5Aog2LyysVckyJDQEA6PRGfH/6ql0y0sDBApSoj2VdqcTmD06ivMY0\ny93LTYE1i+IxKykMUrZ6EpGdHDhRCGPz7ekJgyG38RKK0+MHm89R350qRJNO38kjiDrGApSoD53M\nKsOf9pyBptF04h4e7IFnHkjCyFAvgZMRUX/WpNPj8LkiAIBCLsXU2FCbj+HnpURCRAAAoEbdhNPN\nralE3cEClKiPHLtQgjc/Owtd82XTxo3ww9ML43npTCKyu7N5FeYvvgkRgXB3cerWcW6Jay1cj2aU\n3GBPohtjAUrUB05mleGdzzNgbO7/+kX0IKz81dhOlz8hIuoNlsXihDFB3T5ORJg3vNxNl/49m1cO\ndUNTj7PRwMQClMjO0nNVeOvf52Borj6nxATj/+6Msnn8FRFRdzRodTiTY+oud3dxwphhPt0+llQq\nQVLz5CWd3ohTF9kNT93DT0AiO8q7VoM3PzsHvcFUfP4iehAW3x7JyUZE1GfSclTQ6kxDfxIjAnr8\n5XdCVGsL6rEL7Ian7mEBSmQnJRVqvLYnDdqm5hN/ZCD+744oFp9E1KeOZZSab/ek+71FeIgn/L1M\nlwbOyK9EjZprgpLtWIAS2YG6QYfn3v3ZvFjz6MFeePiXUZBKWXwSUd+pb2jC2bxyAKa1P0cN9u7x\nMSUSCcY3t4IajEaczCzt5BFEbbEAJeplBqMR73x+HgXNl7sb5OuKlXePg5OcE46IqG+dvqgyDwEa\nHxXUa1+CLVtSj11gAUq2YwFK1Mu+OnIZpy6WATBd1/2Je8Z1e8kTIqKeaJl8BACJEV2/8lFnBge4\nIcjHBQCQXViNes6GJxuxACXqRRn5Fdj7Qx4AQCIBfpMSjUAfV4FTEdFApNMbcD6/AoBp9nt4iGev\nHVsikWDcCH8Apl6f85cqeu3YNDCwACXqJbVqLbb/p3WtzwUzIxAz0l/YUEQ0YF0sqEKD1rT4fHS4\nb6+PQR830s98+0xOea8em/o/FqBEvcBoNOK9rzLNk46iw31x78wIgVMR0UCWnttaFI4b4XeDPbsn\nIswbzgrT2PazeeUwGIydPIKoFQtQol7wY3qR+brI7i5OWHbXTZzxTkSCOtNcgEokQPTw3i9A5TIp\nbhrmCwCo0zThUlFNrz8H9V8sQIl6SFWlwT8OZJvvPzA7Et68vjsRCaikUo2SCjUAYGSol90mQlq2\nrJ7JZTc8dR0LUKIeMBqNeP+bLDQ2mcZZTR4XjPjRAQKnIqKBLj3Hvt3v7R07PZeX5aSuYwFK1ANH\nMkpwrnn2p4+HM+6bPkrgRERE1sVgzAj7TYb0dnfG0CAPAMCVkjpU1jba7bmof2EBStRNtWotPrTo\nev/1rNFwcZYLmIiICNA26ZFVUA0A8PV0RmiAm12fz7IVNCOfyzFR17AAJeqmj7/LRZ3GtPhyYkQA\n4kax652IhJdztRo6vQEAMGaYLyQS+06IvGm4r/l2Rn6lXZ+L+g8WoETdcKmoBj+eLQIAuDjLsXDm\naIETERGZXLjcWgSOGepj9+cLD/GEwslUTmRcroDRyOWYqHM2F6BarRbr169HUlISJk+ejJ07d3a4\n77fffos777wTcXFxWLRoETIyMnoUlkgMjEYj/vHtRfP9uZOGw9uds96JSBwsWyGj+qAAlcukGB3m\nDQCortOiqFxt9+ckx2dzAbplyxZkZGRg165dSE1NxbZt27B///42++Xk5ODJJ5/EI488gs8//xyR\nkZFYtmwZGhs5QJkc25GMEuReM613F+znimnxoQInIiIyUTc0Ib/YdH4K9XeDVx99OR4ztLUb3rIF\nlqgjNhWgGo0Gn3zyCTZs2IDIyEjMmDEDS5cuxe7du9vs++OPP2LUqFGYM2cOwsLC8Lvf/Q4qlQo5\nOTm9Fp6orzVq9fj4u9a/4QXTR0Eu40gWIhKHrCtV5ssB90XrZwvL5+JEJOoKmz45MzMzodfrERsb\na96WkJCA9PT0Nvt6e3sjJycHp06dgtFoxL/+9S94eHhgyJAhPU9NJJBvTxSgqs50uc2YEX6IDrff\n+nrkuGynmL1CAAAgAElEQVQZqvT9998jJSUFcXFxmDt3Lg4ePGj183379mHmzJmIi4vDypUrUVnJ\n1iXqWIZF62PUsL4rQMOC3OGmNK0CknWlipflpE7ZVICWlZXB29sbcnnrUjN+fn5obGxsc1K84447\nMGXKFCxcuBDR0dF4+eWX8frrr8PDw6N3khP1sTpNE746egWA6dJ286eNFDgRiVVXhyplZWVh1apV\nuOeee/D5559j/vz5eOyxx5CVlQUASE9Px4YNG7Bq1Srs2bMH1dXVWLduXV+/HHIgLd3fEgkQEdZ3\nBahUIkFkcyuoulGHyyW1ffbc5Jhs7oJXKBRW21rua7Vaq+1VVVVQqVRITU3Fxx9/jJSUFKxduxYV\nFWyaJ8f01ZHL0DTqAACTxgYj2M++a+uRY7JlqNK+ffuQnJyMRYsWISwsDIsWLcKECRPw1VdfAQA+\n+OADzJ49G3PmzMHo0aPx8ssv49ChQ7h69WpfvyxyAFV1jbimqgcADA/2hKuyb9clHsNueLKBTX+d\nzs7ObQrNlvsuLi5W21955RVERERgwYIFAIDnn38es2fPxt69e7F06dIuP6dMBOPrWjKIIQsgrjwD\nJUtFTQMOnCwEADjJpPjV1BGQyzt+noHyvnSHmPLYI0NHQ5XefvvtNvvOmzcPTU1NbbbX1dUBANLS\n0vDII4+Ytw8aNAjBwcE4c+YMQkM5+Y2sZV7u29nv14sa1joRKfNyJe5MHtbnGchx2FSABgUFoaqq\nCgaDAVKp6cStUqmgVCrh6elpte/58+exePFi832JRILIyEhcu3bNpoCeni6d79RHxJQFEFee/p7l\nw//moElnWtj5zknDMXJY18Z+9vf3pSfElqe3dDZUycentTAIDw+3emx2djaOHDmChQsXmo8VGBho\ntY+/vz+Ki4vt+ArIUWUVVJlvRwpQgAb5uMDHwxmVtY3IuVoDnd7ASZrUIZsK0KioKMjlcqSlpSE+\nPh4AcOLECURHR7fZNzAwsM2M90uXLmHcuHE2Bayp0UDffEUHochkUnh6uogii9jyDIQsFTUN+PbY\nZQCAUiHDzIRQVFbWC5KlO8SURWx5WrL0JluGKlmqqKjAqlWrkJCQgOnTpwMAGhoa2j3WjY5DA9fF\n5gJUJpVgZIhXnz+/RCLB6DBvHM0oQWOTHpdLajFCgBzkGGwqQJVKJebOnYvU1FRs3LgRJSUl2Llz\nJzZv3gzA1Brq4eEBZ2dn3HPPPVi/fj2io6MRFxeHjz76CEVFRUhJSbEpoF5vgE4n/IcmIK4sgLjy\n9Ocs/zmcD53eNKNzesJguCjkXT5+f35fekpseXqLLUOVWqhUKjz44IOQSCTYunVrp8dSKpU2ZRLD\ncAdAnMMv+kuWmvrWBeCHBXvCzdVJkCxRQ31wNKMEgOmSoBFDut8SK6bfESCuPGLMYiubRyivW7cO\nzz33HJYsWQIPDw88/vjjmDFjBgBg0qRJ2Lx5M1JSUnDHHXdAo9Hg7bffRklJCaKiovD+++/D19e3\nk2cgEo/qukb8cMY0bEThJMXMpDCBE5HY2TJUCQBKSkqwePFiyGQy7Nq1y6qLPjAwECqVymp/lUrV\nplu+M2Ib7iCmPP0lS0ZBtfl27OgA+Pj0bJJkd7OMHxuC977KBADkFdX2OEdPstiLmPKIKYutbC5A\nlUolNm3ahE2bNrX5WWZmptX9u+++G3fffXf30xEJ7JtjBeaxn7fEhsLTVdHJI2igs2WokkajwdKl\nS+Hk5NTuF/TY2FicPHnS3HNUVFSE4uJixMTE2JRJDMMdAHEOv+gvWU5ltI4LHhbk3ukwIXtlcXOS\nwMPVCbXqJpzPLUd5eR2kUokgWXqbmPKIMYut+naNBiIHUqdpwnenTcvdyGVS3D6BF1GgztkyVOmt\nt95CYWEh3n//fRgMBnNrp1KphLu7OxYsWIDFixcjJiYG0dHR2LhxI2699VabZ8CLbbiDmPL0lyzm\n9T8BDB/k2ePX1JMsowd74+TFMqgbdcgvqsGQoJ6t/y2m3xEgrjxiymIr4QcPEInUd6cK0dikBwBM\niQmGdx9dU5kc37p16xAdHY0lS5bghRdeaDNUqWWdz/3796OhoQHz58/H5MmTzf/++Mc/AjC1gD7/\n/PN44403sHDhQnh7e2Pjxo2CvS4Sp/qGJhSWmpbuCgty7/P1P683eoi3+fZFi5n5RJbYAkrUjiad\nHv9tXvdTIgFuG8/WT+q6rg5VailEbyQlJcXmyZs0sGQXVqPlwpejw7xvuG9fiAizLkBnJHLsPLXF\nFlCidvx8vgQ1atMC4YkRgQjwdtyB3kTUv1m2MkaIoAAdHOAOF2dT+9bFgioYjbwuPLXFApToOgaj\nEd8cu2K+z7GfRCRmWVdaC9BRIihApVIJRg02rf9Zo25CcYVa4EQkRixAia5zNrfcvJ7e6MFeGB7c\ndukcIiIxaNTqcaWkFgAQ7OcqmpU6LFtiswurb7AnDVQsQImus/94gfn2bWz9JCIRyyuqgd5g6uIe\nNVj41s8WllmyORGJ2sEClMjCNVW9eTmTQB8XxIz0FzgREVHHcgotut8Hi+eyl0MHeZivA599lS2g\n1BYLUCILB08Vmm9Pix8MqaR7CygTEfUFy+5tMRWgTnIphgeb1v8srdSguq5R4EQkNixAiZppGnU4\nfM50NRGFkxSTxg4SOBERUccMBiNyr5kKUC83hehW67Dqhuc4ULoOC1CiZj+dK0aj1rTw/C9uGgRX\npZPAiYiIOlZYVgdNo+mcNXKwFyQi67EZadEim8NueLoOC1AiAEaj0bzwPABMSxgsYBoios5ZFnVi\nmoDUYmRoawGaXciJSGSNBSgRgMzLlea16iKHeGNwgLvAiYiIbkys4z9buLs4IcTfDQBwubjO3MNE\nBLAAJQIAHDpzzXz7lrhQAZMQEXVNS6uiwkmKsEBxfmluKYwNRiPyimoETkNiwgKUBrwatRanLpYB\nADxcnRA/OkDgREREN1Ze3YCKGtPM8hEhXuYlj8TGsmWW3fBkSZx/sUR96KezxdDpTQs53zw2WLQn\nciKiFtlXW4s5y7GWYjOSM+GpA/ykpQHNaDTiB4vu9ykxIQKmISLqmtzC1u5sMY7/bBHgpYSXm+ny\noHnXqmFovmoTEQtQGtAuFlRZTT4a5OsqcCIios61tIBKAISHiLcAlUgk5uWYNI16XFXVC5yIxIIF\nKA1oVq2fsWz9JCLx0zTqUFBaBwAIDXCDq1IucKIbsxwiwPVAqQULUBqw1A06nMwyTT5yU8qRwMlH\nROQALhXVwNjckz1ShOt/Xs9qQXpORKJmLEBpwDqRVQqtzgAAmDAmCE5ymcCJiIg6l2O5/qeIJyC1\nGBrkASe5qdxgCyi1YAFKA9aP6UXm2zePDRYwCRFR11kWcSNEPAGphVwmxfBBHgCAsqoGVNc1CpyI\nxIAFKA1IxRVq80k8NMANw5pPjkREYmYwGJF7zXTu8nJTIMBLKXCirhnB68LTdViA0oB0+KxF62d0\nMCQSiYBpiIi65qqqHppG0yUtR4Z6Ocy5a1Qo1wMlayxAacAxGIz46VwxAEAqkSD5piCBExERdY1l\n6+FIB+h+bzEi1NN8O5ctoAQWoDQAXbhcicpa0xikseG+8HJ3FjgREVHXWM4id6QC1MNVYV5nOb+4\nFtomvcCJSGgsQGnA+fl8sfk2Jx8RkSNpaQGVy6QYGuRYY9db1gPVG4zIL64VOA0JjQUoDSiNWr15\n7U8XZzliRvoJnIiIqGuq6xpRVtUAAAgP9oBc5lgf4SM5EYksONZfL1EPnc4uQ2Nz109SZADX/iQi\nh2E5eccRFqC/3iirBelZgA50LEBpQPn5fIn5dvJNgwRMQkRkG6sJSA6wAP31gnxd4dZ82dCcq9Uw\ntlzOiQYkmwtQrVaL9evXIykpCZMnT8bOnTs73DcrKwsLFy5ETEwM5syZg6NHj/YoLFFPVNdrcf5S\nBQDAz9MZo8IcrwWBiAYu6xZQxytApRKJuXCu0zShuEItcCISks0F6JYtW5CRkYFdu3YhNTUV27Zt\nw/79+9vsV1dXh4ceegijRo3Cvn37MHPmTKxcuRIVFRW9EpzIVscySmBo/sY98aZBkDrI+nnkeGz5\not7ixIkTmDFjRpvtiYmJiIqKQmRkJCIjIxEVFQWNRmOP2CRi2iY9rpSYJu4E+7nC3cVJ4ETdM5Ld\n8NRMbsvOGo0Gn3zyCXbs2GE+GS5duhS7d+/GrFmzrPbdu3cv3Nzc8NxzzwEAVq1ahR9++AHnzp3D\nlClTeu8VEHXRkYzW2e8T2f1OdmT5Rb2wsBBr1qxBaGhom/Nki6ysLDzxxBNwdrZeEqykpAT19fU4\ncOAAlMrWK964uLjYNT+Jz6WiGugNpi/Qjtj93mKUxdjV7KvVmBwTImAaEpJNLaCZmZnQ6/WIjY01\nb0tISEB6enqbfY8fP45p06ZZbfv4449ZfJIgSirVuFRkaj0YEuiOUH83gRNRf9XyRX3Dhg2IjIzE\njBkzzF/U2/PPf/4TCxYsgL+/f5uf5eXlISAgAKGhofDz8zP/o4HHURegv96wQR6QSU29T2wBHdhs\nKkDLysrg7e0Nuby14dTPzw+NjY2orKy02regoAA+Pj545plnMGnSJNx33304depU76QmstGxjNbJ\nRxPG8MpHZD+2fFEHgB9//BEvvfQSlixZ0uZnOTk5GDZsmL2ikgOxGv/pwC2gCicZhg4yrV9aXKFG\nrVorcCISik0FqEajgUKhsNrWcl+rtf4jUqvVePfddxEYGIh3330XiYmJeOihh1BSUgKivmQ0GnH0\nQqn5/vgoFqBkP7Z8UQeAbdu2tTv2EwByc3Oh0Whw//33Y9KkSVi2bBny8/PtFZ1EymA0mi9f6e7i\nZL6ikKOyLKC5HujAZdMYUGdn5zaFZsv968ckyWQyREVFYeXKlQCAyMhIHD58GP/+97+xbNmyLj+n\nTAQL7bZkEEMWQFx5HCHLlZJaXFPVAwBGh3kjyM/+J29HeF+EIqY89shgyxf1zuTl5aGmpgarV6+G\nm5sbtm/fjgceeABffvklXF0duwihrisqV6O+QQfAVLxJHHwC5ajBXth/vACAqRs+blSAwIlICDYV\noEFBQaiqqoLBYIBUajpxq1QqKJVKeHp6Wu0bEBCA8PBwq23Dhg1DUVGRTQE9PcUz2F5MWQBx5RFz\nln8fzjffnpY0BD4+fTf+U8zvi9DElqe32PJFvTM7duyATqczP+6VV17B1KlT8d133+HOO+/s8nHE\nUOwD4vzy4QhZ8q7VmG+PHuINudx+mfvifYkc6mO+nXO1usPXI6bfESCuPGLMYiubCtCoqCjI5XKk\npaUhPj4egGnpkOjo6Db7xsbG4vjx41bb8vLycNddd9kUsKZGA73eYNNjeptMJoWnp4sosogtj9iz\nGI1GHDpVCMC0Bl30UG9UVtYLkkUoYsoitjwtWXqTLV/UO+Pk5AQnp9bldhQKBQYPHmzzUCaxFfti\nyuMIWS6X1plvJ44J7pMv0fZ8X3x83BDs74YiVT0uFdXCzV0JhVPHV6UT0+8IEFceMWWxlU0FqFKp\nxNy5c5GamoqNGzeipKQEO3fuxObNmwGYTrIeHh5wdnbGfffdh927d2Pbtm2YM2cOPv30UxQWFmLO\nnDk2BdTrDdDphP/QBMSVBRBXHrFmyblaDVW16drJY4b5wNVZ3qc5xfq+iIHY8vQWW76od2bmzJlY\nsWIFUlJSAJjG1l++fLlN71JnxFDsA+L88uEIWc7lqgAATjIp/Nyd7Poluq/el5EhnihS1UOnN+D0\nhWKMbufCIGL6HYktjxiz2MqmAhQA1q1bh+eeew5LliyBh4cHHn/8cfMA+kmTJmHz5s1ISUlBSEgI\nduzYgRdeeAHbt2/HiBEjsH37dgQGBtockqi7jl1obSni5CPqC7Z8Ue/M1KlT8frrryMkJAQ+Pj7Y\nunUrgoODMXXqVJsyia3YF1MesWepqmtEaaXpwgPDgz0gAfokr73flxGhXvhfumlIXublSoQHd9w7\nIKbfESCuPGLKYiubC1ClUolNmzZh06ZNbX6WmZlpdT8uLg579+7tfjqiHjAYjTiRaZr9LpdJED+6\n7TqLRPbQ1S/qnXn66afh5OSEJ598ErW1tUhOTsY777zj8JNQqOss18rsT5cPHmWxlml2QRUwcaiA\naUgINhegRI4iu6AKVXWmyR/Rw/3gqnTMS9eR47Hli3qLefPmYd68eVbbFAoF1qxZgzVr1tglJ4nf\nxcIq8+1RDrwA/fUG+ZouJ1qnaULO1WoYjEZeHnmAEX76FJGdHLNa+5NDP4jI8bQsQC+Bqdu6v5BI\nJOaCur5BhyKV/SeHkriwAKV+SW8w4ESWqQB1kksRM5Ld70TkWDSNOlwpMV1CODTADW79rBfH6rrw\nvCzngMMClPqlzCtVqFU3AQDGjfCDizNHmxCRY8krqoHRaLptWaz1F6PCLMaBWgw1oIGBBSj1S8c5\n+52IHFx2Qf8c/9liaJAHFM2L0F8sYAvoQMMClPodnd6AUxdN6+YpnKQYN8JP4ERERLaz7Jbujy2g\ncpkU4SGm5ZfKaxpQUdMgcCLqSyxAqd+5kF+JOo2p+z12pD+cb3CFDSIiMdLpDci9aipAfTyc4eel\nFDiRfYy0KKwvsht+QGEBSv2O5eLzSZGc/U5EjudycS20zQuMRwzpf62fLSIs1ja9eIUF6EDCApT6\nFZ3eYF583tlJhrHh7H4nIseTZTH+s73LVPYXI0I9zet/Wr5m6v9YgFK/cia7DPUNOgBAzEg/KNj9\nTkQO6KJFMRbRjwtQpUKOYcEeAICicjVq6rUCJ6K+wgKU+pUf066ZbydFcvY7ETkeg8FoXpbI09UJ\ng3xdBU5kX5YtvBfZCjpgsAClfkOnN+DIuSIAgLNChrHhvgInIiKyXUFpHTSNegCm4kzSzy9RyQJ0\nYGIBSv3G+UsVVrPf2f1ORI7o4gAZ/9li9GAvtJTYLEAHDhag1G9w9jsR9QcDZQJSC1elE8IC3QGY\nWn/VDU0CJ6K+wAKU+gWd3oCTWWUAAKVChujh7H4nIsdjNBrNrYCuznIMbi7M+ruWQtsI4CKvCz8g\nsAClfiEjvxLq5tnvsaPY/U5Ejulaudo8lGh0mLd5iaL+znKtU3bDDwwsQKlfaFn7EwAmjOHsdyJy\nTFlXKs23R4X1v+u/d2SUxVADy/eA+i8WoOTwTNd+N3W/uzhz8XkiclyZl1uLr6ihPgIm6VuergqE\nBrgBAPKLa809WtR/sQAlh5eRXwl1o+lkNX5MMLvficghGYxGZF5pHf85JNBD4ER9K3KIqeA2GtkN\nPxCwACWHZ9n9fnNMiIBJiIi6r7C0zjz+M2KIN6TSgTH+s4Vli28mu+H7PRag5NAsu9+VChniufwS\nETmojPzWoqulNXAgiRjibV4P9MJlFqD9HQtQcmgZ+RXm7vf40QFwZvc7ETmoC/kV5tsDafxnCzel\nE4YEmYYdFJTWoVbN68L3ZyxAyaEdv9Da/Z4UxdZPInJMer3B3O3s7uKEkOYJOQNN5NDW2fCZbAXt\n11iAksPS6Q04la0CYOp+HzuCs9+JyDHlXq02X/89cqjPgFn/83qWLb/shu/fWICSwzp/qQKa5u73\nuFH+UMjZ/U5Ejulsjsp8O2pI/7/8ZkdGDW5dfP9CPgvQ/owFKDms4xaz35Miufg8ETmudIsCNHIA\njv9s4eIsx/Bg0zjQq6p6VNY0CJyI7IUFKDmkJp0Bp7NbF5+/idd+JyIH1aQz4FxeOQDA212BQb6u\nAicSlmUBfqb5PE/9DwtQckjnLpWbx0vFjgyAk5x/ykTkmLILqqBtMp3PbhrmC8kAHf/Z4qZhrQ0K\npy+yAO2v+KlNDsly9vt4zn4nIgd29lK5+TZ7c4ARoV7mJfXSLpbCaDQKnIjsgQUoOZzGJj1ON4+X\nclPKecIm0dFqtVi/fj2SkpIwefJk7Ny5s9PHnDhxAjNmzGizfd++fZg5cybi4uKwcuVKVFZyYkZ/\ncz6vdf3PMcN4PnOSSxHRPBGroqYRV8vqBU5E9mBzAdqdE2thYSHi4uJw/PjxboUksnQ2txyNWlN3\nVdzoAMhl/B5F4rJlyxZkZGRg165dSE1NxbZt27B///4O98/KysITTzzRpqUnPT0dGzZswKpVq7Bn\nzx5UV1dj3bp19o5PfahGrUV+cS0AYOggD3i6KQROJA6W3fBn88pvsCc5Kps/uW09sQLAs88+i4YG\nzmSj3nHsQon5NrvfSWw0Gg0++eQTbNiwAZGRkZgxYwaWLl2K3bt3t7v/P//5TyxYsAD+/v5tfvbB\nBx9g9uzZmDNnDkaPHo2XX34Zhw4dwtWrV+39MqiPZFhc/SiavTlmlj1b5yxaiKn/sKkAtfXECgCf\nf/451Gp1j4MSAUCDVof0XNO3YXcXpwF5uToSt8zMTOj1esTGxpq3JSQkID09vd39f/zxR7z00ktY\nsmRJm5+lpaUhKSnJfH/QoEEIDg7GmTNnej84CSLjUuuQiuhwXkyjRbCfK3w9nAEAWVcq0aTTC5yI\neptNBaitJ9bKykr86U9/wvPPP89BxNQr0nJU0OoMAIDEiADIpOx+J3EpKyuDt7c35HK5eZufnx8a\nGxvbHb+5bdu2dsd+thwrMNC6ld/f3x/FxcW9G5oEYTQacb65BVThJMOoMC+BE4mHRCLBTeGmVlCt\nzoDswmqBE1Fvs+nT29YT6+bNmzFv3jyMHDmy50mJABzLsLz2OxefJ/HRaDRQKKzH8bXc12q1Nh2r\noaGh3WPZehwSp2vlalTWNgIAokf48Wpu1xlr0SJ8/hK74fsbeee7tLLlxPrTTz/h9OnTeOGFF3oY\nkcikvqHJPBjdy12BiLCBe7k6Ei9nZ+c258OW+y4uLr1yLKVSadNxZCKZqNeSQwx5xJDFcvxn3OgA\nvi/XGTfSHxIJYDQC5y5VYMFMYTOJ6b0RYxZb2VSAdvXE2tjYiGeffRapqaltClZbienNFUMWQFx5\n+jJLWrYKeoNpKMfEMUFQKKxbCwbq+9IZMWUBxJXHHhmCgoJQVVUFg8EAafMQEZVKBaVSCU9PT5uO\nFRgYCJVKZbVNpVK16ZbvjKenbYWvvYkpj5BZzltc6zwhMojvy3V8AIwK88bFK1UoKK1DEyQI9BH+\nKlFieG9aiCmLrWwqQLt6Yk1PT0dBQQFWrVplNfbz4YcfRkpKCp599tkuP6eY3lwxZQHElacvspyw\nuCLGrOTh8PFxEyxLVzFLx8SWp7dERUVBLpcjLS0N8fHxAExrfEZHR9t8rNjYWJw8eRIpKSkAgKKi\nIhQXFyMmJsam49TUaKDXG2x+/t4mk0nh6ekiijxCZ1E36HC+uUcn0McFgwPd+b60kyUxahAuXqkC\nAPzvZAGmJQwWNI+Y3huxZbGVTQVoV0+sMTExbZZmmjlzJv74xz8iOTnZpoBienPFkEVsefoqS1Vt\nI9KzTS1BgT4u8Hd3QmWl9eLEA/F9cbQsYsvT3RPnjSiVSsydOxepqanYuHEjSkpKsHPnTmzevBmA\n6Uu7h4cHnJ2dOz3WggULsHjxYsTExCA6OhobN27ErbfeitDQUJsy6fUG6HTC/+5biCmPUFnSc1p7\ndGJG+kMikfB9aUdSVBD+8U0mANNlOafEhAicSDzvDSCuLLayqQC15cQaFhbW5vGBgYHw9bVtnTMx\nvbliygKIK4+9s/x8rhgtbenjo4Kg1xsBtL+ywkB6X2whpiyA+PL0pnXr1uG5557DkiVL4OHhgccf\nf9w8033SpEnYvHmzuVXzRmJjY/H8889j69atqK6uxqRJkziuvp84k9s6tCJmZNs1YMkkPNQLXu4K\nVNdpceFyJbRNeiicOFmrP7CpAAW6f2KVSCQ9T0sD1lGLxecnjOHsdxI3pVKJTZs2YdOmTW1+lpmZ\n2e5j5s2bh3nz5rXZnpKS0qVilRyHwWjE2eb1jBVOUkQO5YTKjkilEsSM8McPZ65BqzMg80oVxo3g\neqn9gc0FaHdOrABw4cIFW5+KCABQWqlG3rUaAMDgAHeE+rc/9pOIyBFcLq5FjboJADBmqC+XX+pE\nzChTAQqYLsXMArR/EH4aKlEnjpxvbf2ceBNbP4nIsbVczQ0Ai6kuiB7uC5nU1It6JlfFC9v0EyxA\nSdSMRiN+Om+66osEpuWXiIgc2Zmc1vGfLEA75+Isx+jmdZ9V1Q24pqrv5BHkCFiAkqjlFdWgtFID\nAIgc6gNfT9sW4CYiEpOKmgbkF9cCAMIC3XlO66JYi4lap7JVN9iTHAULUBK1I+fY/U5E/ccpi/WM\nE0YHCJjEscSNtihALd5DclwsQEm0dHqDefa7k1yKxAjbrv5CRCQ2lsVTPAvQLvP3csHQIA8Apklc\nqmqNwImop1iAkmidu1SBOo1ppmjcKH+4ONu8aAMRkWjUqrXIKjBd1SfQ2wWhAVzRwxbxFq2gpy+y\nG97RsQAl0frpXLH59sSbBgmYhIio59JyVGiZwB0fEcD1sW1k2WLMbnjHxwKURKlO04S0bNMJxtPV\nCdHDbbuCFhGR2Fi22rH73XYh/m4I8jFdOvdiYRVq1FqBE1FPsAAlUTqaUQKd3tRUMPGmQZDL+KdK\nRI6rQavDuUsVAAAvdwXCQzwFTuR4JBKJuXA3GoEznA3v0PipTqL049ki8+1JY4MFTEJE1HPpueXQ\n6Q0AgLhRAZCy+71bLFuOT2SxG96RsQAl0SksrcPl5nXyhg7ywOBAd4ETERH1zNGM1iXlkiLY/d5d\nw0M84evpDADIyG+dqEqOhwUoiQ5bP4moP1E3NOFsnunym15uCkQM8RE4keOSSiQYH2VaE1pvMOJE\nZqnAiai7WICSqOj0BhxpvvSmXCbBBF56k4gc3KmLKvOY9qTIQEil7H7viQlRrZ8Lxy6U3GBPEjMW\noCQqZ3JUqFGbulRiRwXA3cVJ4ERERD1z1KJI4pfqnhsS5I4gX1cAQNaVKlTWNgqciLqDBSiJyqG0\na5B3PmUAACAASURBVObbU2LY/U5Ejq2mXosL+ZUAAH8vJWe/9wKJRIIJUaYr4xkBHGcrqENiAUqi\noarS4HzzMiX+XkqMGca1P4nIsZ3IKoWhefX58VFBXHy+l1i2JB+9wHGgjogFKInGD+lFaL5ICKbE\nhHCZEiJyeEfOs/vdHoL93DCkeYWUS0U1KKlQC5yIbMUClERBbzDgx3RT97tUIsGkcex+JyLHVlRe\nj5yr1QCA0AA3DOa133uV5SWaLVdPIcfAApREIT23HFV1psuqxYz0g7e7s8CJiIh65vDZYvPtSWOD\n2f3ey5JvCjL3lP10rhgGg7GTR5CYsAAlUfju9FXz7amxIQImISLqOb3BgMPnTK1yMqkEyRatddQ7\nvNydMW6EHwCgsrYR5/MrBE5EtmABSoIrrlDjXF7r5KPo4X4CJyIi6pnzlypQ3dyrM26EHzzdFAIn\n6p8mWwzX+l86u+EdCQtQEtzBU4Xm29PiB3ORZiJyeJbFEMe028/YEX7wdDWtF52WXcZLczoQFqAk\nqAatDoebB487yaU8URORw6tVa5GWrQIAeLopMDacvTr2IpdJkRxtGt6g0xvx8/niTh5BYsEClAT1\n8/kSaBr1AICJY4J45SMicng/ni2CvnlCzC9uGgS5jB+19jRpbGvDxaG0azAaORnJEfD/ChKM0WjE\nwZPW3e9ERI7MYDDiu1MWkyrjOKnS3kID3DFqsBcA4JqqHplXqgRORF3BApQEk5FfiauqegDAyFAv\nDB3kIXAiIqKeOZOrgqq6AQAwNtwPQT6uAicaGKYntDZgWDZskHixACXBfH3sivn2rKQwAZMQEfUO\ny+JnekKogEkGlvjRAfByN600cCq7DOXNXwJIvFiAkiAKSuvM130P8FYifnSAwImIeo9Wq8X69euR\nlJSEyZMnY+fOnR3um5GRgfnz5yM2Nhb33HMPzp8/b/XzxMREREVFITIyEpGRkYiKioJGo7H3S6Bu\nKCqvx/n8SgCm81o0Jx/1GblMiltiTQW/0Qh8n3a1k0eQ0FiAkiD2W7V+DuHSS9SvbNmyBRkZGdi1\naxdSU1Oxbds27N+/v81+Go0Gy5YtQ1JSEvbu3YvY2Fg88sgjaGgwtd6UlJSgvr4eBw4cwOHDh3H4\n8GH8+OOPcHFx6euXRF1w8GRr0TMtfrD5Kj3UN6bGhkDW/FlyKO0amnR6gRPRjbAApT5XWduIIxkl\nAAA3pdxqBiORo9NoNPjkk0+wYcMGREZGYsaMGVi6dCl2797dZt8vvvgCLi4ueOqppxAeHo7f//73\ncHNzw9dffw0AyMvLQ0BAAEJDQ+Hn52f+R+JTq9bif2evAQAUXFJOEN7uzkiIMPWm1WmarC6FSuLD\nApT63LcnCsxLlNwaHwpnhUzgRES9JzMzE3q9HrGxseZtCQkJSE9Pb7Nveno6EhISrLbFx8fj9OnT\nAICcnBwMGzbMrnmpd/z3ZCG0TQYAwOSYELgpuaScEG4bP8R8+6ujl6E3GARMQzdicwFqy9im77//\nHikpKYiLi8PcuXNx8ODBHoUlx1er1pqXKJHLpJjOpZeonykrK4O3tzfkcrl5m5+fHxobG1FZWWm1\nb2lpKQIDA622+fn5oaTE1EOQm5sLjUaD+++/H5MmTcKyZcuQn59v99dAtmnQ6vDf5slHUokEt43n\npEqhDA/2xJhhPgCAsqoGnMwqEzgRdcTmArSrY5uysrKwatUq3HPPPfj8888xf/58PPbYY8jKyuqV\n4OSYvj1RiMYm07icKTHB8HJ3FjgRUe/SaDRQKKyv+91yX6vVWm1vaGhod9+W/fLy8lBTU4MVK1bg\nr3/9K5RKJR544AGo1Wo7vgKy1Q9nilDfoAMATBgTBH8vjtEV0h0Th5pvf/nzZS5ML1Lyzndp1TK2\naceOHeYZmS1jm2bNmmW17759+5CcnIxFixYBABYtWoSDBw/iq6++QkRERO+9AnIY6oYm/PdkAQBA\nJpVYnSSI+gtnZ+c2hWbL/esnD3W0r1KpBADs2LEDOp3O/LhXXnkFU6dOxXfffYc777yzy5lkIrkS\nT0sOMeTprSw6vcFqUuVdNw+DXG7bMfvj+9Ibuptl7Ag/DA/2xKWiGlwprcOFK5UYN8JfsDz2IMYs\ntrKpAO1obNPbb7/dZt958+ahqampzfa6urpuxKT+4MDJQvNlN28eGwxfT6XAiYh6X1BQEKqqqmAw\nGCCVmk7MKpUKSqUSnp6ebfYtK7PuIlSpVAgIME2kcHJygpNT61hChUKBwYMHm7vou8rTU1wtcmLK\n09MsX/2cj4raRgDA+DGDMDYiSLAsvcnRs9w7KwKb/34cAPCfny5jSsIQSHppVQJHf2/EwqYCtLOx\nTT4+Pubt4eHhVo/Nzs7GkSNHsHDhwh5GJkekbtDh2+Om1k+pRII7ktn6Sf1TVFQU5HI50tLSEB8f\nDwA4ceIEoqOj2+wbExOD7du3W207ffo0Hn30UQDAzJkzsWLFCqSkpAAA1Go1Ll++3Ob82pmaGg30\neuEnY8hkUnh6uogiT29k0Tbp8eE3meb7syeEobKyXpAsvaW/ZIkc7InQADdcLatH1uVKHDx2ucfr\nTfeX98ZeWWxlcxd8V8c2WaqoqMCqVauQkJCA6dOn2xRQTM3LYsgCiCtPV7PsP1FgHiOVHD0IIf5u\ngmXpC8zSMTHlsUcGpVKJuXPnIjU1FRs3bkRJSQl27tyJzZs3AzC1cHp4eMDZ2Rm33XYbXn31VWzc\nuBH33nsvPvzwQ6jVatx+++0AgKlTp+L1119HSEgIfHx8sHXrVgQHB///9u48PKry/P/4ezJLZrIv\nJCGEsEMCCRCCoEgQQVxQlLhAq18lahFsa0trUQRUwJRFQaytPwUpxbWCgqWKUAStQhVF1oQlQhII\nBMlG9mSWzMz5/ZFkIEKAkGTOhNyv65qrzpkJ5zPTyZ17zvM85zBy5MgmZXI4nNjt6jeg9TwpT3Oy\nfL7zJCV1Rz8H9e5A1wj/Zr2uq+V9aWlXmuXuET147eN0AD76bybx3UNa5NysV8N74wma1IA2ZW5T\nvaKiIh555BE0Gg2vvvpqkwN60uFlT8oCnpXnYllKKiyuOVI6rYaH74wjOLjlG9DLyeJukqVxnpan\nJc2cOZN58+aRkpKCv78/06ZNY8yYMQAkJSWxaNEikpOT8fPzY9myZcyZM4cPP/yQmJgYVqxY4ZoD\n+vTTT6PX65k+fToVFRUMGzaMN998s8WGEsWVM1vtfLbjOAAa4O4bmnZUWrS+Qb07uOaCniqsYueh\nfK6L66h2LFGnSQ1oU+Y2Qe1VPCZNmoRWq+Xdd99tMER/uTzp8LInZPG0PJeT5d3NP2Kx1c79vHFQ\nFN5eXNEwVUtkcRfJ0jbyXOnQ0aUYjUYWLlzIwoULz3ssIyOjwf3+/fvz8ccfX/DfMRgMzJgxgxkz\nZrR4RtE8m3eecI3qXBcXQecwP5UTiZ/TaDTcO7IHS1bvA2D99mNcExuOzgNGX0QTG9CmzG0ym81M\nnjwZvV7PO++8Q0hIyBUF9KTDy56UBTwrT2NZCkvNfFl3fjxvvZY7hnVr9cxt4X1RgydlAc/LI8Tl\nKiozs+n72lEdrZeG8UndVU4kGtOvWwh9uwZzOKeEglIzW3flctu1XS79g6LVNelrwLlzm9LT09m6\ndSurVq0iJSUFqD0aarXWzodZtmwZubm5LFy4EKfTSVFREUVFRbIKvp1Z93WW66pHNw+JJtDXcImf\nEEIIz/bhl5nU1H15GpUYRXiwj8qJxMVMHNWL+kkr//7mGKWVVlXziFpNPg49c+ZM4uPjSUlJITU1\n9by5TZs2bQLg888/x2KxMHHiREaMGOG6zZ8/v2VfgfBYR06WsvNwAQB+Jj23DZVvnUKItu3Q8WJ2\n1V1dx99HT7Ic/fR4XTv6c0NCJwCsNgdrv8pSOZGAJg7Bw+XPbapvREX75HQq/HPrEdf9e0f2wMfY\n5I+bEEJ4DLvDyQdbj7ru3zeyJz5yzfc24Z4berAro4Aqi51vD+RxY0IUvToHqh2rXZOZuKJV/C/9\nNCfya6dbdAn3Y8SATionEkKI5tn0XQ6nimoXUHaP9Gf4gEiVE4nL5e9jIHnE2TMVvPWfDNc0CqEO\naUBFi6s017Du67NDHPeP6Y2Xl5w2RgjRduUWVvLJN8cB0GjgwVtiWuScksJ9bhzUia4R/gD8VFTF\np98eUzlR+yYNqGhxa748SkV17WVYh8SGE9Ol6affEkIIT+FwOvnHZ4ddCyrHXtuV7pHnn3pQeDat\nlxeP3tEXbd0BkY07TnA8r1zlVO2XNKCiRR08Xsw36XkAmLx1/PKm3ionEkKI5tn03QmO51UAEBnq\nw/ikbuoGElcsOtyPO6/vBoBTUfjHZ4epsTvUDdVOSQMqWoy1xsE7/zm7EG3CjT0J9vdWMZEQQjTP\n0dxS1m+vHarVaODRO/qi12lVTiWa4/ZhXYkOr71wQG5hFau/yFQ5UfskDahoMR9/nU1hqQWAPp0D\nXae9EEKItqjSXMOyfx/EqdQOvY8b1o2enWTldFun03rx2Lh+6HW1LdB/955i5+F8lVO1P9KAihZx\nIPsMW3adBGp/uSfdFisT9IUQbZZTUfj7hkOUVNSetDwmOkiueHQV6Rzux//d3Md1/61NGeSXVKuY\nqP2RBlQ0W3mVjRWfHnLdn3BjTzp18FUxkRBCNM+/tmWTlnUGqD3h/JS74uRsHleZEQMiua5fBAAW\nm4O/rk2j2lKjcqr2QxpQ0SyKovD/1u5zHSWI6xbMTdd0VjmVEEJcuW/ST/PZjhygdt7nY3f2k/ns\nVyGNRsNDt8YQGVp7KdXTZ6p5Y/0BHE45P6g7SAMqmmXzzhN8m3YaAF+jjkfv6CdD70KINuvHEyW8\ntensYsr7b+pNfPdQFROJ1mTy1jHtvgH4mWqvaHXweAnvbzmKUjfvV7QeaUDFFfvxRAmrt55dPfjo\nHX3lKIEQos3K/qmcV9emuc73OToxijHXRKucSrS28GAfnrinPzpt7cGTr/aeYt3X2dKEtjJpQMUV\nKamw8sY5q0PvHN6NQb3DVE4lhBBX5kR+BUvX7MNiqz0n5ICeodw/Rs5j3F70iQ7ikdv7uu5v/C6H\nT789rl6gdkAaUNFkZqudVz/aT3mVDYCE3mHcO7KnyqmEEOLKHM8rZ8nqfVRb7QDEdgniN8nxaL3k\nT2R7MiyuIw/dcnZl/Prtx/jkf8fkSGgrkd8u0SQOp5M3/n2AEwWVAHQINDL9wcGyOlQI0SYdOlbM\ni//cS6W5dvVzz6gAfn/fAAx6Odl8ezQqsTO/GN3LdX/9/47xzy1HXaN9ouVIAyoum6IovLv5Rw5k\nFwPg463jT/cPItBP5n0KIdqer/fksmT1Xqx1w+59OgfyxwkJGA06lZMJNd06tAsTR51tQr/Yk8ub\nnxzEWiOX7GxJ8lsmLouiKPxz61G27a9d8a7Tavjdvf2JkvN9CiHaGKdTYfUXR9lYd6olgIReHXh8\nfJwc+RQA3HZtF/xMet7alIFTUdh5uID8EjPPT74OvdrhrhJyBFRckqIorPkyky925wK158WbPK4f\nMV2CVU4mhBBNU1Zp5ZUP9zVoPkcMiOS398RL8ykaSBoQyRP39se77nORk1fBk3/52nWBAtE80oCK\ni3IqCv/ccpTPf6i9zKYGePT2vgztG6FuMCGEaKK9Rwp5buVODh4vAUDrpWHSbTE8PDZWFhyJC0ro\n1YHZkwYTFmQEoKzSxpIP9vL+liPYZEi+WWQIXjTK7nDy9w2H2Hm4wLUtZWwsw/tHqphKCCGapqzK\nxpovj/LdwXzXtkA/AzMmDaFziAm7Xa58IxrXOcyP51KGsPKzQ+zPrD36+cXuXA4cK2bSLX3o2y1E\n5YRtkzSg4oIqzTW8/q90Mk6UAuCl0fDI7dJ8CiHaDrvDybb9P/Hx19muUywBDOrdgcl39qNLVDAl\nJVUqJhRthZ9Jz5O/SGDHoQJWfnqQGruT/OJqFq/ex7C4CO67sZdciKWJpAEV5zlZUMnf1qVRVGYB\nwKDz4vHkeBJ6dVA5mRBCXJqiKOz+sZB127LJL652bfc16pg4qhdJAyLRy3xP0UQajYY7knrQNcKP\nv396kKxT5QDsOJjPrh8LufmaaG6/rgs+RlmmdDmkARUuiqLwTXoe72854jrdRICvgSfu7k+vzoEq\npxNCiItzOJ38cLiAjd/lkFvY8Mjm9fEdmTi6FwE+BpXSiatFVAdfZj44mO37f+Kj/2ZRbbVTY3ey\n8bsc/rs3l1GDOnPzkGgCfeWzdjHSgAoAqi01vLP5xwbzPbt19OeJe/oTEmBUMZkQQlxcWZWN7ft/\n4ut9pzhTbm3wWJ/OgUwY1YueUfIlWrQcL42GkQlRDI4JZ8O3x/lyTy52h4LZ6mDjdzl8/sNJhsSG\nMzoxih6dAtBo5GItPycNaDtXP1T1/tYjlFXaXNtHDIjk/27uI6clEUJ4pBq7g/2ZZ/j2QB7p2Wdw\nOBteqaZnpwDGXd+NAT1D5Y+/aDV+Jj2/vKk3YwZ3ZsOOHL49cBq7Q8HucLLjYB47DuYRFebLsLiO\nXNcvQg7onEMa0HasoKSa1V9ksi+zyLXN16gj5bZYrokNVzGZEG2bzWZj7ty5bNmyBaPRyKOPPsoj\njzxyweceOnSIuXPncuTIEXr37s3cuXOJi4tzPb5hwwZeffVVioqKGD58OKmpqQQHt89z8JZX2Th4\nrJi9RwtJzy4+78o0GqB/z1BuG9qFmC5B0ngKt+kQZOLhsbGMT+rOlh9Osj3tJ6ostQvfThVWsfar\nLNZ+lUX3yAAS+3RgQM8OdA7zbdefUWlA26FKcw2fflM7ZHDuUYMBPUOZdGuMfEMToplefPFFDh06\nxLvvvktubi4zZswgKiqKW265pcHzzGYzU6ZMYfz48SxatIgPPviAqVOnsnXrVoxGI2lpaTz77LO8\n8MILxMbGkpqaysyZM1m2bJlKr8y9KqptZOaWcSS3lMM5JZzIr7zg84L8DAyL78iNCVGEBZncnFKI\ns4L9vZk4uhfJI7qz83AB2/b/ROapMtfjx06Xc+x0Oeu+zibQ10C/bsH0jg6iT+cgOob64NWOGlJp\nQNuR8mobn+88yRd7cl3XPobahUYPjOnNkNjwdv1tTIiWYDabWbt2LStXriQ2NpbY2FgmT57Me++9\nd14D+tlnn2EymXjqqacAmD17Ntu2beM///kPycnJvP/++4wdO5a77roLgMWLFzNq1ChOnTpFVFSU\n219ba1EUhdJKG7mFleQWVJKTX8Gx0+UUlloa/Rk/k56EXh24Ni6Cvl2C8fKS2iU8h0GvJWlAJEkD\nIikoqea7Q/ns/rGQkwVnv0SVVdnYcTCfHXXnpzV56+jW0Z9ukf5Eh/sRHeZHRIgPOu3VeZEEaUDb\ngdzCSr7YncuOA3nYzjnhsl7nxa1Doxl7bVdM3vJREKIlZGRk4HA4SEhIcG0bPHgwy5cvP++5aWlp\nDB48uMG2xMRE9u7dS3JyMvv27WPq1Kmuxzp27EhkZCT79+9vcw1ojd3BmXILJ89Uczy3lLwz1RSW\nmskvMZNXXIXZeumrynSN8Ceuewj9e4TQq3OgXL1ItAnhwT7cNbw7dw3vTmGpmf2ZRRw8VkzGidIG\n00jMVjuHc0o4nFPi2qb10hAWZKJjiA9hQSbCg02EBhoJDzah99ajKMqFdtkmSNdxlTJb7ezKKOB/\n6ac5mlvW4DGdVkPSgE6MG9ZVhtuFaGGFhYUEBQWh050tr6GhoVitVkpKShrM3ywoKKBPnz4Nfj40\nNJTMzEzXvxUe3nA+docOHcjLy2vFV3BxiqJgrXFgsTkwW+1UW+2YLXaqLHaqLTVUmmuoMNdQWV1D\nWZWN8mobpRVW13y4y2XQedElwp8enQLoEx1E786B+MsplEQbFxZkYsw10Yy5Jhq7w8nxvAqOnizl\naG4Zx/LKGywGBnA4FfKKq8k753y25zLovAjy8ybA11B789Hj56PHz2TA16jD16jHx6jDx1uHyVuH\n0VuL0aD1iC9v0oBeRaotNaRln2FXRiHp2Weo+dnl5YwGLSMGdOLWodHSeArRSsxmMwZDw0ap/r7N\n1vCPi8ViueBz6593qcfdobTSyj82HuZEfiVWmwNbjYOWPOaiAUIDjUSG+tKpg0/t0GO4P506+HjE\nH0khWotO60WvqEB6RQUytm5bSYWVE/kVnCyoJLewkrwztc2nrZHLxdrsTgpKzRSUmpu8b2+9FwG+\nBu4d2ZPEPmHNfDVN1+QGtCVXd4rmcTidZP1URkZOCenZxWTmluG8wOH4Th18uTGhE8P7R8pQuxCt\nzNvb+7wGsf6+yWS6rOcajcbLevxyaZsxhyw9u5gD2cVX/PN6rReBfgaC/b0JCTASGeZHgElPaKA3\n4cE+hAUZMejcf7q3+vekOe9NS5EsF+ZJWcA9ecKCTYQFmxh8zplonIpCaYWVghIzBSVmisrMFFdY\nKa+qobC0mpIKK9VNHGGwO5zYHU6qLHY27zzB0H4RV5z5St+PJncjLbW6UzRN/ST9nPwKjudVkJNf\nwY85JVhsF543FeCjZ3BMOEkDIunW0V8WFwnhJhEREZSWluJ0OvGqO4JXVFSE0WgkICDgvOcWFhY2\n2FZUVERYWO3RiPDwcIqKis57/OfD8pcSEHDlK8NHDenC7iOF5J2pwtugw+StrR3KM+jwMerwNenx\nNerx8zHgZ9KfHQr0NRDk743JW+fR9ac5701LkywX5klZQJ08oSF+9Oza+OM1dgelFTbKq6yUV9ko\nq7JRVW2jwlxDVd2t2mLHbK29WWx2LFYHWq2Ge0f3ITjY130vpk6TGtCWXN0pLszpVCiusJBfYia/\nuJrTRdX8dKaK3MJKKqprLvqzEcEm+vcIJbFPGH2ig2RVqBAq6Nu3Lzqdjn379pGYmAjArl27iI+P\nP++5AwcOZMWKFQ227d27l1//+tcAJCQksHv3blfNPH36NHl5eQwcOLBJmcrLzTgcFx7CuxzTf5lw\n6SddgNVsw2o+ewRXq/UiIMDU7DwtQbJIlrac50JZdECIr54QXz3QtIaypKTq0k+6RJamalID2pKr\nO9sbp6JQbbFTUW2jorrG9Q2ltNJKSYWV4nILZ8otFJdbz7uiR2OC/b3pEx1ETJcg+nYJJiLEp5Vf\nhRDiUoxGI+PHj2fOnDksWLCA/Px8Vq1axaJFi4DaI5j+/v54e3tz6623snTpUhYsWMAvfvELPvjg\nA6qrq7ntttsAuP/++5k0aRIDBw4kPj6eBQsWMGrUqCavgHc4nNgbmUOmBk/KI1kuTLI0zpPyeFKW\npmpSA9qSqzs9iaIoOJx1N4cTu1PBUXcpLbvDiQIUVtg4U1yFxWanpsaJ1e7AVuPEVuPAWnez2Opu\ndYe4q60Oqi01VFnsVFlqaM7ZEvx99HQJ96NLR396dApkcL9IdLTdD54QV7OZM2cyb948UlJS8Pf3\nZ9q0aYwZMwaApKQkFi1aRHJyMn5+fixbtow5c+bw4YcfEhMTw4oVK1zTlBISEnjhhRd49dVXKSsr\nIykpidTUVDVfmhBCtIgmD8G31OpOdziRX8F7nx+huMKCw6mgOBWcSu0wt0NRav/XoVxw4Y4aTN5a\nOgSa6BBoJCLYh/AQE5EhPkR28CXgnNOP6HReBAebmnXIXAjReoxGIwsXLmThwoXnPZaRkdHgfv/+\n/fn4448b/beSk5Pb5aiREOLq1qQGtCVXd16u5qw2+1/66QaXwHI3DWCqOw+Xn0mPr0lHgI8Bf18D\nAT4GgvwMBPl5ExJQuzr0cleoe9LKQMlyYZKlcZ6UxxMyCCFEe9SkBrQlV3deruasNrs9qQfH8ioo\nKbfi5aXBy0uDVqPBy6v2D4+2bpvOywutVoOubptW64Ve54Ve64VOd/a/DXoter0X3not3notBn3t\nCV29DVqMBh0mow6TQYePUY+p7sSvrbkQyJNWBkqWC5MsjfO0PEIIIdynSQ1oS6zufPzxx5sUsDmr\nzTr4GZjz8JAr+tlzNX3lm5Mai40yS+tMN/D0lXiSRbK0lTxXunpTCCFE8zSpAW2J1Z1jx469xF4a\n8qQVXp6UBTwrj2S5MMnSOE/LI4QQwn2aPAFq5syZxMfHk5KSQmpq6nmrOzdt2gTgWt25a9cu7r33\nXtLT0xus7hRCCCGEEO1Tk6+E1JKrO4UQQgghRPsjS0CFEEIIIYRbSQMqhBBCCCHcShpQIYQQQgjh\nVtKACiGEEEIIt5IGVAghhBBCuJVGUTzkQuhCCCGEEKJdkCOgQgghhBDCraQBFUIIIYQQbiUNqBBC\nCCGEcCtpQIUQQgghhFtJAyqEEEIIIdxKGlAhhBBCCOFW0oAKIYQQQgi3kgZUCCGEEEK4lTSgQggh\nhBDCrTy+AS0vL2f69Olce+21jBw5kqVLl6LmxZv++te/Mnz4cK699lqef/55bDabalnqzZ07l4ce\nekjVDBUVFcyePZvhw4czbNgwZs6cSUVFhdv2b7PZmDVrFkOGDGHEiBGsWrXKbfv+ufz8fH7/+9+7\nPrOLFi3yiM/JlClTmDlzpmr7t9lszJs3j6FDh5KUlMQrr7yiWhaAvLw8Hn/8cQYPHsxNN93E22+/\nrWqe1iR19PKoXUuljp4ldbRxnlRLm1VHFQ/3xz/+UUlJSVEyMzOV77//Xhk+fLjy1ltvqZJl+fLl\nyrBhw5Tvv/9eSUtLU26++WZl6dKlqmSpt3v3biU2NlZ56KGHVM3xhz/8QbnvvvuUgwcPKocOHVIm\nTJigTJs2zW37f+GFF5Tx48crhw8fVrZs2aIkJiYqmzdvdtv+zzVx4kRlypQpSmZmprJr1y7llltu\nUV566SVVstTbsGGDEhMTozzzzDOqZXjuueeUW2+9VUlPT1d27NihXHfddcqaNWtUyzNx4kTlySef\nVHJycpStW7cqCQkJypYtW1TL05qkjl6aJ9RSqaNnSR1tnCfV0ubUUY9vQAcPHqx89dVXrvuLIblN\nMgAACEZJREFUFi1Spk6d6vYcDodDGTZsmLJ+/XrXtk8//VR59NFH3Z6lns1mU8aNG6fcf//9qhbN\n6upqJS4uTklLS3Nt27t3rxIXF6dYrVa37H/AgAHKDz/84Nr2+uuvq/KeZGVlKbGxscqZM2dc2zZs\n2KDccMMNbs9Sr7S0VBk5cqQyYcIE1QpnaWmpEhcX1+D/ozfffFOZNWuWKnnKysqUmJgY5ejRo65t\nv/vd75TU1FRV8rQ2qaMX5wm1VOroWVJHL57DU2ppc+uoxw/BBwUF8cknn2CxWMjPz2f79u3ExcW5\nPcfRo0cpLS3lpptucm0bN24cK1eudHuWesuXLycmJobrr79etQwAXl5eLFu2jNjYWNc2RVFwOBxU\nV1e3+v4zMjJwOBwkJCS4tg0ePJi0tLRW3/fPhYWFsWLFCkJCQlzbFEVx6zDaz7344ouMHz+enj17\nqpZh9+7d+Pv7c80117i2PfbYY8yfP1+VPEajEZPJxLp167Db7WRnZ7Nnzx769eunSp7WJnX04jyh\nlkodPUvqaOM8qZY2t456fAM6Z84cvv32WxITExk5ciQRERH89re/dXuOkydPEhgYyJ49e7j77ru5\n8cYbWbBggWpzUrKysli9ejWzZs1SZf/n8vb2JikpCb1e79r2zjvvEBMTQ1BQUKvvv7CwkKCgIHQ6\nnWtbaGgoVquVkpKSVt//ufz9/UlKSnLdVxSF9957T7U/bDt27GD37t2q/M6c6+TJk0RFRbF+/XrG\njh3LmDFjeP3111Wbh2gwGHj++edZvXo1AwcO5Pbbb+eGG27gnnvuUSVPa5M62jhPqaVSR8+SOto4\nT6qlza2juks/pXVZrVby8/Mv+FhYWBjZ2dn079+fJ554goKCAubNm8eKFSuYOnWqW7NUVlZiNptZ\nunQps2bNwuFw8Pzzz6MoCrNnz3ZrlrCwMObMmcO0adMafENsTZfKYzKZXPffe+89Nm/e7LajGmaz\nGYPB0GBb/X21J62/9NJLZGRksG7dOrfv22azMXfuXObMmXPe++Nu1dXVHD9+nI8++ohFixZRWFjI\nc889h4+PDw8//LAqmbKyshg9ejS/+tWvOHLkCKmpqVx//fWMGzdOlTzNIXX0yvK4u5ZKHb0yUkfP\n8rRa2pw6qnoDun//fiZNmoRGoznvsenTp7N06VK2bdtGaGgoUPtLMm/ePB577DG8vFr2AO7Fsrz8\n8stYLBaeffZZ16HvGTNmMH369FYpnBfL8uSTT+J0OpkwYUKL7/dK8rz22muuIbX333+f+fPnM3v2\nbIYNG+aWbN7e3ucVyPr75xZ0d1u8eDHvvvsuf/nLX1QZtvnb3/5GfHy86lM0ALRaLVVVVbz88st0\n7NgRgFOnTvHBBx+oUjR37NjB2rVr2bZtGwaDgX79+pGXl8cbb7zRJhtQqaNXlsfdtVTqaNNJHW3I\nk2ppc+uo6g3o0KFDycjIuOBjmzZtIjg42FU0Afr160dVVRWlpaUt/o31Yll++OEHNBoNPXr0cG3r\n3r07VquV4uJit2aZNGkSBw4cYNCgQQDU1NTgdDpJTExk48aNrg+lu/LUW7lyJYsXL+aZZ57hwQcf\nbPEMjYmIiKC0tBSn0+n6Y1pUVITRaCQgIMBtOc6VmprKmjVrWLx4MWPGjFElw8aNGzlz5kyDzwnA\n5s2b2bNnj1uzhIeH4+3t3eCz2b17d/Ly8tyao97Bgwfp1q1bgyMaffv2Zfny5arkaS6po1eWx921\nVOpo00gdPZ8n1dLm1lHVG9CLCQ8Pp7S0tEFhysrKwsfHx21Dz/X69u2LXq8nIyPD9U0oKysLX19f\nt8zPOdeSJUuwWq2u+2+//Tbp6eksWbKE8PBwt2ap969//YslS5Ywe/Zst59Hr2/fvuh0Ovbt20di\nYiIAu3btIj4+3q056r322musWbOGV155hZtvvlmVDFA7hGe32133Fy9eDMBTTz3l9iwJCQlYrVZy\ncnLo2rUrUPv7ExUV5fYsUFtbcnJysNvtrjlv2dnZdO7cWZU8rUnqaOM8rZZKHT1L6uiFeVItbW4d\n9ehFSAkJCfTs2ZMZM2aQmZnJzp07Wbx4sVu/Fdbz8/NjwoQJpKamsn//fvbu3cvLL7/MhAkTWnwI\n61LCw8OJjo523YKCgvD29iY6OtrtWQDKyspITU0lOTmZsWPHUlRU5Lo5nc5W37/RaGT8+PHMmTOH\n9PR0tm7dyqpVq0hJSWn1ff9cVlYWb7zxBlOmTGHQoEEN3gt3i4yMbPA58fX1xdfXl+joaLdn6dat\nGyNHjuSZZ54hIyOD7du3s2LFCh544AG3ZwEYPXo0Op2OZ599luPHj/Pll1+yfPlyJk2apEqe1iR1\ntHGeVEuljp4ldbRxnlRLm1tHNYpay1AvU35+PvPnz+f777/H19eX8ePH88QTT6DVat2exW63s3jx\nYtavXw/AXXfdxdNPP91g1aIaXnvtNXbu3Mk777yjyv43btzIn/70pwbbFEVBo9HwxRdf0KlTp1bP\nYLFYmDdvHps3b8bf35/JkyerckWTN99887yrUtS/F4cPH3Z7nnPVX71j4cKFquy/srKSP//5z2zZ\nsgWTycQDDzzAb37zG1WyQO0fuQULFpCWlkZISAgPPvig6lcUay1SRy+PmrVU6uhZUkcvzpNqaXPq\nqMc3oEIIIYQQ4uri0UPwQgghhBDi6iMNqBBCCCGEcCtpQIUQQgghhFtJAyqEEEIIIdxKGlAhhBBC\nCOFW0oAKIYQQQgi3kgZUCCGEEEK4lTSgQgghhBDCraQBFUIIIYQQbiUNqBBCCCGEcCtpQIUQQggh\nhFtJAyqEEEIIIdzq/wMuNKCgbllkFwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1235c0438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 7\n",
    "fig = plt.figure(figsize=(8,3))\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = [sigma(x) for x in xvals]\n",
    "yp = [sigma_prime(x) for x in xvals]\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(xvals, ys, lw=2)\n",
    "plt.ylim(-.05, 1.05)\n",
    "plt.title(\"sigmoid\")\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(xvals, yp, lw=2)\n",
    "plt.ylim(-.02, .27)\n",
    "plt.title(\"derivative of sigmoid\")\n",
    "file_helper.save_figure('sigmoid-and-derivative')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAp0AAAEnCAYAAADrbPiwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xl8TPf+x/FXFllEIna1BrXLaquKqq1KLdVY6rb2pZZU\nW61bVPErVVvdXrtq0VaLIqi9u7YutQtNU4SqLSSEhCwjmfn9kZu5RoJEJ5lJ8n4+Hn08Ot85c77v\nc0bO+cxZvsfBZDKZEBERERHJRY62DiAiIiIiBZ+KThERERHJdSo6RURERCTXqegUERERkVynolNE\nREREcp2KThERERHJdSo6RURERCTXqegUERERkVynolNEREREcp2KzgKudevWjBs37r7TjB07ltat\nW1u9b4PBwPTp09myZYu5bdy4cbRp08b8+vvvv+fNN9/8231t3bqV1q1b4+fnx6RJk/72/HLi7mXY\nt28fderUYf/+/XmaQyQ/CQsLo06dOly8ePFvz+vu7Yo1ZGf7ZWsrVqwgODiYgIAAFi9enOn9Cxcu\nUKdOHTZu3Hjf+WRnP/EwLl++zLBhwyy+47v7Wrx4McuWLfvbfc2aNYumTZsSGBjIpk2b/vb8cuLu\nZZg/fz5169bN0wz5hbOtA0juWrhwIR4eHvedxsHBAQcHB6v3HRMTw4oVK5g+fbq5bcSIEfTr18/8\nevny5Vbpe8qUKfj4+DBz5kzKli37t+eXE3cvQ/369fnyyy+pUaNGnuYQyU+sud25e7tiDdnZftnS\nzZs3mTlzJq1bt2bAgAFUqlQp0zRlypThyy+/pHLlyjZICP/5z3/YtWuXRdvd+6QPPviA0NDQv9XP\nyZMn+fjjj+nVqxddu3alWrVqf2t+OXX3MvTo0YMnnngiTzPkFyo6C7g6derYrG+TyZSpLbc2ftev\nXyc4OJhGjRrlyvxzwsPDAz8/P1vHECk0cmO7kpfbr4dx48YNjEYjbdq0oWHDhllO4+LiYtNtUVbr\nMDf2SXFxcTg4OPDMM88QFBRk9fnnVLly5ShXrpytY9glnV4v4O4+lREfH8+4ceNo2rQpTZs2Zfbs\n2RiNxkyf+/bbbwkJCcHPz4/g4GDeffddkpKSzO/Pnz+fp556il27dtGlSxd8fX1p3769+bTGhQsX\naNu2LQ4ODowdO9Z8SurO/+/Tpw/79+9n37591K1blz179tCiRQveeOONTHmeeuopJk6cmKk941S2\ng4OD+ZTGxYsX6dOnD3379s1y2ozT3mFhYdSvX5/w8HCef/55/Pz8aN26daZTPTdv3mTKlCk88cQT\nBAYG0r17d/Ov97uXIeP/7z69fuzYMQYPHkzTpk1p2LAhw4YN49SpU5my7dmzh0GDBhEQEEBwcDCz\nZ8/OcsMtkp+YTCYWLlxIq1atCAgIYOTIkdy4cSPTdCdOnOCll16iYcOGNGzYkNDQUM6dO2d+P+Pv\nZM2aNbRu3ZpGjRqxZ88ei0uEJk6cSHBwcKa/m6lTp9KsWTPS0tKA9G3cCy+8QFBQEL6+vnTo0IHP\nP/8cyN72K7v9PGiZ7mX37t288MILNGrUiKZNm/L6668THR0NwIYNG2jTpg0ODg6MGzfunqdyszq9\nHhkZyYABAwgMDKR169Zs3rw50+dMJhMffvghTz31lHnbvnLlSotp+vTpw4QJE1i6dCmtWrXCz8+P\n3r17Ex4ebs44fvx4wHI/dOf/373tPnXqFHXq1GHt2rUWfUVHR1OvXj2LSx0yzJ8/37yt79u3r/n7\nqVOnDvPnz7eYdt68eRZF77hx4xgwYABhYWG0b98eX19fnn32WX7++WeLz505c4bQ0FCaNm1KkyZN\nGDZsGKdPn85yGbLqB2Dbtm2EhIQQGBhIcHAwkyZNIj4+3mI57rdPLShUdBYiJpOJQYMG8fPPPzNu\n3DimT5/OoUOH2Lp1q8V0mzdvJjQ0lEcffZSFCxfy8ssv89VXXzFy5EiL6WJiYpgyZQr9+/fnww8/\npFKlSowdO5YzZ85QtmxZ5s+fj8lkYsSIESxYsADA4nTa5MmTqVevHvXq1WPNmjX4+fnx7LPP8t13\n35GYmGie7uDBg5w7d46QkJBMy5RxKttkMtGjRw/WrFlD6dKl77kO7uzfwcEBo9HIq6++SqdOnVi6\ndCkNGzZk5syZ7N69GwCj0cigQYPYsmULw4YNY+HChdSoUYMRI0Zw8ODBTMtQr169TP3s3buX3r17\n4+DgwHvvvce7775LdHQ0zz//PGfOnLHIN2bMGBo1asSSJUvo3LkzH330UaYNsEh+M3PmTBYuXEjP\nnj1ZsGABJUuWZPbs2RbT/Pnnn/Tu3Zu4uDhmzJjBtGnTOHfuHL179+batWsW0y5YsICxY8cyceJE\nAgMDLU7Vd+nShatXr7J3717z9CaTiZ07d/LMM8/g5OTEjz/+SGhoKL6+vixatIj58+dTpUoVpk6d\nSnh4eLa2X9np58yZM9lepjtt2rSJQYMGUaFCBebMmcP48eM5cuQIzz//PNeuXePJJ5+0yLdmzZps\nfQ+XL1+mT58+3Lp1izlz5vDKK68we/Zsrly5YjHdpEmTmDdvHl27dmXJkiV06NCBadOmsWjRIovp\ndu7cyXfffcfbb7/NnDlziI2N5ZVXXsFkMtGyZUuGDx9u/r5GjBiRKc+aNWsstt2PPvoo/v7+mQqt\nDRs24OHhwVNPPZVpHj169DAfkJg8ebL5u8pKVpd0HD9+nGXLlvHqq6+ycOFCnJycGDVqFAkJCeZ1\n1rNnT86ePcv//d//MWvWLGJjY+nXrx/x8fGZliGrfhYuXMjrr79OYGAg8+fPJzQ0lJ07d9K3b18M\nBoN5uvvtUwsKnV4vRHbt2sWxY8f4+OOPad68OQCPPfZYppuI3n//fVq2bMmMGTPMbVWrVqV///7s\n2rWLli1bApCcnMy7775L06ZNAfDx8aFVq1bs2rWL/v37m3/1ValSJctTKjVq1MDDwwMHBwfzKaCQ\nkBCWLl3Kzp076datGwAbN27Ex8cHf3//TPO481R2uXLlHngq6e6jEiaTidDQUJ577jkAAgMD+frr\nr/nhhx9o3rw5u3bt4ujRoyxevJgnn3zSvM7++usv9u7dy8iRIzMtw939vP/++1SrVo0PP/zQvCFq\n3rw57dq1Y+7cufzrX/8yT9urVy/zhrpp06Z88803/PDDD/Ts2fO+yyVirxISEvjss88YNGiQ+d92\n8+bNiY6O5pdffjFPN2/ePNzd3VmxYgVFixYFoFmzZrRp04aPP/6YMWPGmKd94YUXsixAABo1akSF\nChXYunUrzZo1A9J/+MXGxtK1a1cAoqKieO655xg7dqz5cwEBATRt2pRff/0VPz+/B26/stPP/Pnz\ns71MGUwmE7NmzeKJJ55g1qxZ5vagoCA6duzIsmXLeOONNyzyZfcU+ooVK0hNTWXp0qUUL14cgGrV\nqllsX86cOcPatWt54403GDRoEACPP/44Dg4OLFmyhH/84x/mz6amprJs2TLzst28eZNx48bx+++/\nU69ePapUqQJA3bp1qVChQqY8Gdv0O7fdISEhTJo0ifPnz5uvU920aRPPPPMMLi4umeZRrlw5Hn30\nUSB9n5LT0/c3b95kw4YN5r7c3d158cUX2bt3L+3atTOvs08++YSSJUsC6Uc3e/fuzZEjR8zXbt5r\n/xMfH8/ixYt5/vnnmTBhgrn90Ucf5cUXX2T9+vX07t0buP8+Na+vU80tOtJZiBw4cAAXFxdzwQnp\nf2AZRSTA6dOniY6OplWrVqSlpZn/a9SoEcWKFeM///mPxTwDAgLM/1++fHkAi6OUOeXj40PDhg3N\nv3RTUlLYsWOHuSi0NgcHB4ti1sXFhZIlS5ovJTh48CBFihQxF5wZn1m1alWmI79ZSUpK4vjx4zz9\n9NMWv3w9PT1p1aoV+/bts5j+7sK6fPnyFpc1iOQ3R44cIS0tzeJvCKBDhw4Wr3/99VeaNm2Kq6ur\nebtTtGhRGjZsmGm786DCokuXLnzzzTekpqYC6aNbVK1aFV9fXwAGDRrEtGnTSExM5LfffmPbtm0s\nWbIEwOLI04M8qJ+cLFOG06dPExsbS8eOHS3aK1euTEBAQKZtRk4cOnSIoKAgc9EI4OfnZ1EQZhy5\nffLJJy32Aa1atSI5OZkDBw6Yp61Zs6a54ATr7AM6duyIm5sbX331lTnz2bNnc20fULJkSYubsDKu\nxcxYhkOHDhEQEGAuODOm+f7777N1s9Dhw4e5ffs2zzzzjEV7xo+Wu79Pa+9T7Y2OdBYi8fHxFhub\nDGXKlDH///Xr1wH4v//7PyZPnmwxnYODAzExMRZtrq6uFu8DWV4jmhPdu3fnrbfeIjo6mgMHDpCY\nmGg+cpAb3N3dLV5nnHaH9Iv1vb29czzPjHURHx+PyWSyWMcZSpcubXFNj4ODw32ziORHGddulihR\nwqL97r+J69evs23btkyX+zg4OFCqVCmL13cWOlnp2rUrixYt4ueffyY4OJhvvvmGAQMGmN+Pi4tj\n4sSJfPfddzg6OlK1alXzzTg5uYb6Qf1kd5nulLG+stpmlClThoiIiGznu9v169fveZf7nf2bTKZM\nRRKk577zVLybm5vF+46OjphMpr91HXqxYsV4+umn2bRpEyNGjGDjxo1Uq1Yt126IymoZ4H//Du61\nzrIrYxuf1WVfZcqUsdgHQO7sU+2Jis5CpESJEsTFxWEymSyOumUUmgBeXl4AvPnmmzRu3DjTPDLe\nz01PP/007777Ljt27ODAgQM0b948x8MgZVWsJSYm5niIFk9PT4v1k+H333/HZDKZr+G8W8YGy8vL\nK8tiHdKv37l7RyxS0JQoUQKTyURsbCw+Pj7m9rv/rjw9PXn88ccZNGhQpqLFyckpR336+Pjg5+fH\n9u3bcXBwID4+ns6dO5vff/311/nzzz/59NNP8ff3p0iRIiQnJ/Pll19atZ+HWaaMAwO5sc0oUaIE\nV69ezdR+53fh6emJg4MDn376aZbF/SOPPPLQ/WdXSEgIGzdu5NixY3zzzTcMHjz4oeZz9z7g1q1b\nOZ6Hp6cncXFxmdr37NlDlSpVqFix4n0/X7x48Sz//UP692lPIyLkBZ1eL0Qee+wx0tLS+Pbbb81t\nt2/fNt80A1C9enVKlSrFuXPnqF+/vvm/MmXKMHv2bH7//fds95edHUVW07i7u9OhQwe2bNnC7t27\nH+q0SrFixcx3ema487RQdjVq1IjU1NRMdzOOHTvWfDouq2XIKG7d3d1p0KABO3bssNjpJCQk8MMP\nP9jFEE8iuSkwMBA3Nzd27Nhh0f79999bvG7cuDFRUVHUqVPHYtuzbNkyi21WdnXt2pVdu3axZcsW\nGjZsaFEcHDp0iKeeeopGjRpRpEgRAPOIFBl/p9ktdO/Xz8MsU/Xq1SldunSmo6Pnzp3j8OHDf2ub\n0axZMw4fPmxxtPLUqVMWd9M3adIEgGvXrllkjo2N5YMPPsjyR/id7vxhn3HU8H6ymqZRo0ZUqVKF\nmTNnkpCQQJcuXR44n7tltQ84dOhQjufTqFEjjhw5YrHcV69eZciQIfz444/A/ZfT398fFxeXTHfe\nHzhwgIsXLxa6fYCKzkKkWbNmNG/enAkTJrBq1Sp27drF8OHDLe6idHR05NVXX2X16tVMnTqV//zn\nP2zfvp3BgwcTERFB/fr1s91fsWLFgPRfhBnDaNzNy8uLP//8k71791qcZujevTvHjx/HxcXloZ4A\n0qpVKy5cuMD06dPZt28fCxcufKihJ5588kn8/f0ZO3YsX375JXv27OHNN9/kzJkzDBky5J7LcGeB\nOXr0aM6cOcPgwYP5/vvv2bFjB/369eP27dsW14VqaCQpiIoWLcqIESNYtWoV77//Prt37+bdd981\n77AzjBw5krNnzzJ06FC+++47fv75Z0JDQ9m+fbvFNZzZ/Tvp2LEjt27dYseOHZkuz/H19WXz5s18\n9dVX7Nu3j0WLFjF27FgcHR3N189lZ/v1oH6yu0x3cnBw4PXXX+eXX37h9ddf56effmLjxo0MHDiQ\nEiVK0L9//2wtf1b69etH8eLFGTRoEF9//TXbtm1jxIgRFjfo1KxZk86dO/P222/z8ccf8+uvv7Jq\n1Sr++c9/EhcX98AbWu78fry8vDCZTHz99dfmIYbu5unpyeHDhzMdFAgJCWH//v0EBwdneanB/fqF\n9G33tm3bWLNmDXv27OGf//wnf/311wPnc7f+/fvj4uLCwIED+frrr/n+++8ZPnw4FSpUMH/f91oG\nSD/SOXToUL788kumTp3K7t27Wb16NaNGjaJmzZrmG2YLCxWdBdzdQzcsWLCAzp07M2/ePEaPHs0j\njzxCr169LD7To0cP3n//fY4cOcLw4cN55513qFKlCitXrrT4FZ/Vqeo7+ytWrBgDBgzgm2++YciQ\nIeaL7e/83AsvvICzszNDhw61OJro7++Pt7c3nTt3Nh+JyMlyhoSEMGTIELZs2cLQoUM5evQo8+bN\ne+B87p6Xo6MjH330EU899RRz585l5MiRnDt3jmXLltGgQYN7LsOdWZo1a8by5csxGAy8/vrrTJo0\niQoVKrB27VqLpxbd69R/bjwtSiQvDR06lPHjx7Nz505GjBjByZMnLe4cB6hduzZffPEFjo6OvPnm\nm7z66qvExsaycOFC2rZta54uu38nJUqUoEWLFjg5OfH0009bvDdz5kz8/PyYOnUqoaGh/PDDD0yZ\nMoXg4GAOHjwIZG/79aB+srtMd+vWrRtz587l7NmzhIaGMnPmTBo2bMi6desyXd/6IHdO4+3tzRdf\nfEHlypUZN24c7733Hi+88EKmAnj69OkMGDCANWvWMHjwYD788EM6derEsmXLMg07d7/+mjZtSvPm\nzZkzZw4zZ87Mcprhw4dz/PhxhgwZYnFkMuPGs+ye6bo7y7hx42jVqhUzZ87k1VdfxcPDI8sxoB+0\nDOXLl2fVqlWUK1eOcePGMX78eCpUqMCKFSvMP0yyWoY75xEaGsqkSZP49ddfGT58OAsXLqRjx458\n8cUXWV7DeXeWgrQPcDBZ+fBKdHQ0kydPZv/+/Xh7e9O3b1+7eWyY5B9Hjx7l+eefZ9OmTdSqVcvW\ncUSyzWAwEBISwsSJE7O8LhogIiKCyZMnc+LECWrWrMnkyZMtziLs2LGDf/3rX1y5coWgoCCmTJmS\n5ZAzIgXVhx9+yCeffMKuXbtwdtbtJwWF1Y90vvLKK3h4eJifRvDBBx881PU4Ujjt27ePuXPn8tpr\nrxEcHKyCU/IVg8HA6NGjLZ42dbekpCSGDh1K48aNCQsLIyAggJdeeonk5GQg/bqzN954g8GDB7Nh\nwwaKFCnC6NGj82oRRGxq48aNzJgxg4ULF9K/f38VnAWMVYvO+Ph4jh49yvDhw6lSpQpt2rShRYsW\nFk9sELmfuLg4VqxYQdmyZZk6daqt44hkW1RUFD179uT8+fP3nW7r1q24u7szZswYqlevzltvvYWH\nh4f5Rpvly5fTtWtXevTogY+PDxMmTCAmJuaBN3CIFASRkZGsXr2a9u3bM3DgQFvHESuzatHp5uaG\nu7s769evJzU1ldOnT3Po0KF7Disjcrf27dtz6NAhVq9ebR6kVyQ/2LdvH82aNTM/Fu9ewsPDzWNC\nZggKCuLw4cPm+bRr1878XqVKlfjuu+8earxYkfxm7NixHD58mBkzZuR4qCyxf1Y9bu3i4sLEiRN5\n5513+PTTT0lLS+O5557LtScJiIjYi4xH2T3IlStXMl02UqpUKU6dOkVCQgI3btwgNTWVQYMG8ccf\nf+Dn58ekSZP0I0xE8j2rX9MZFRVF69atWbt2LdOnT2fnzp2ZxqcSESmskpOTMz1D2sXFBYPBYB6u\n59133+XZZ59l8eLFGAwGhg0bZouoIiJWZdUjnXv27GHdunX89NNPuLi4UK9ePaKjo1m0aBGdOnWy\nZlciIvmSq6trpud7GwwG3NzczKcTe/ToYX6yzezZs2nevDlHjhyxeC6ziEh+Y9Ujnb/99hs+Pj4W\nv+Lr1q3LxYsXsz0PDZAtIgVZuXLlMj3iMDY2ljJlylCiRAmcnZ0tBuD29vbG29ubS5cuZbsPbUdF\nxB5Z9Uhn2bJlOXv2LKmpqeZhDk6fPk2lSpWyPY/059cmkZZm2wfcOzk54uXlrix2nMXe8ihL/sli\nS/7+/ixdutSi7fDhwwwfPhwnJycaNGhAZGQkHTp0ANIfRxgXF/fAZzzfSdtRZcmveZTF/rPcmSen\nrFp0tm7dmlmzZjFhwgSGDRvG6dOnWbJkCa+//nqO5pOWZiQ11fYrFZTlXuwpC9hXHmXJmj1lyWux\nsbF4enri6upK+/btmTNnDtOmTaNXr16sWrWKxMRE89NsBgwYwLhx46hbty41a9Zk1qxZ1KtXDz8/\nvxz1aU/rW1myZk9ZwL7yKEvW7CnLw7Dq6fVixYqxYsUKYmJi6NGjBzNmzGDkyJH06NHDmt2IiNi1\nux9bFxwczPbt24H07eTixYs5cOAAISEhHDt2jKVLl+Lm5gakDxs2btw4Zs6cSffu3YH0x9eKiOR3\nVh/qv0aNGnz88cfWnq2ISL7x+++/W7yOjIy0eO3r60tYWNg9P9+jRw/9WBeRAsfqQyaJiIiIiNxN\nRaeIiIiI5DoVnSIiIiKS61R0ioiIiEiuU9EpIiIiIrlORaeIiIiI5DoVnSIiIiKS61R0iki+kGY0\n6pniIiL5mNUHhxcRsSaTycT3hy6w8efTVCpTjH/+IzDTE39ERMT+qegUEbuVmmbk829OsOvIRQBO\nnL9OQuJtvDxcbJxMRERySkWniNilhEQDCzcc549z181tXZtXU8EpIpJPqegUEbtzPuYmc9eFE3sj\nGQBnJ0f6d6jN4w0esXEyERF5WCo6RcSuHD4Zw4ebI0gxpAFQ3MOF0BBfalQobuNkIiLyd6joFBG7\nYDKZ2Lb3LGG7TpNxj3rV8p68/JwvJb3cbJpNRET+PhWdImJzhttprNgeyd6Iy+a2JnXLMqBjXVyL\nONkwmYiIWIuKThGxqbiEFOaHhXPmUoK5rdsT1enUrKqGRhIRKUBUdIqIzZy5FM+89eFcv2kAwLWI\nE4M71aNh7TI2TiYiItZm9aLTYDDw3nvvsXXrVlxcXAgJCeG1116zdjciks/t/S2aZdsiSU0zAlDK\ny41R3f2oXLaYjZOJiEhusHrROXXqVPbt28eyZcu4efMmr732GhUrVqRnz57W7kpE8iGjycSGn06z\ndc9Zc1vNSsUZ2c1XY3CKiBRgVi06b9y4QVhYGCtWrKBBgwYADBw4kKNHj6roFBGSUlL5aEsEh0/G\nmtta+D1Cn/a1cXZytGEyERHJbVYtOg8ePIinpyeNGjUytw0ZMsSaXYhIPhUTl8ScL49wIeYWAA4O\n8HzrmrRtVEk3DImIFAJWPbRw7tw5KlasyMaNG+nQoQNt27Zl4cKFmEymB39YRAqs41GxTFq2z1xw\nurs681pPf9o1rqyCU0SkkLDqkc7ExET+/PNP1q5dy/Tp04mJieHtt9+maNGi9O/f35pdiUg+8cOh\n83y64w/SjOk/PsuVLMor3f0oX7KojZOJiEhesmrR6eTkxK1bt3j//fcpX748ABcuXGDVqlU5Kjqd\n7ODarowMymLJnrKAfeVRFktpRiOff32Cbw+cN7c1qF6Skc/54uFWxCaZ7OG7EREprKxadJYtWxZX\nV1dzwQlQrVo1oqOjczQfLy93a8b6W5Qla/aUBewrj7JAQqKBOZ8e4MjJGHNblyeqM7BTfRV+IiKF\nlFWLzoCAAFJSUjh79ixVq1YFICoqiooVK+ZoPvHxSaT9d+w+W3FycsTLy11Z7DiLveVRlnQXY2/x\nrzVHuByXlJ7F0YER3f15rG5Z4uOT8jTL3TLWi4iI5D2rFp0+Pj60bNmSsWPHMmnSJGJiYli6dCkj\nR47M0XzS0oykptq+oAFluRd7ygL2lacwZwmPusqSr46TlJIGgGfRIozq7s9j/hWJi7tlN+tFRETy\nntXPc82ePZuqVavywgsvMG7cOF588UVeeOEFa3cjInbEZDKx49e/+Pe6o+aCs3LZYrzdrxG1q3jb\nOF3eMhgMdO7cmf37999zmoiICHr27ElAQAA9evTgt99+y3K6bdu2UadOndyKKiKSp6xedBYrVozp\n06dz8OBBfvnlF0aMGGHtLkTEjtxONbJs2+98+cMpMkZHa1irDONeDKJ08cJ1KttgMDB69GhOnTp1\nz2mSkpIYOnQojRs3JiwsjICAAF566SWSk5MtpktISGDatGkaUkpECgxd0S8iD+3GLQMzVx1i97H/\n3SzYpbkPw7s1wM3F6k/ZtWtRUVH07NmT8+fP33e6rVu34u7uzpgxY6hevTpvvfUWHh4e7Nixw2K6\nmTNnmq+NFxEpCFR0ishD+etyAlM+2U/UhXgAXJwdGda1Ps+2qI5jITw6t2/fPpo1a8aaNWvu+0CM\n8PBwGjZsaNEWFBTE4cOHLea1b98+hg0blmt5RUTyWuE6FCEiVnEg8gofbY3AcDv9xqASnq6MCvGj\nanlPGyeznd69e2druitXrlCrVi2LtlKlSplPyRsMBiZOnMjkyZNxcnKyek4REVvRkU4RyTajycSm\nX86wcONxc8FZo4IXE/s1KtQFZ04kJyfj4uJi0ebi4oLBYABgwYIFNGjQgGbNmtkinohIrtGRThHJ\nlhRDGh9vjeDAH/8b8L1Z/fL071CbIs46Ipddrq6u5gIzg8FgwM3NjZMnT7Ju3To2b94McN/T9A9i\nD4Pw28OTsTIoy73ZUx5lyZo9ZYGHz6GiU0Qe6OqNZOaFhfPX5ZsAOADdW9Xg6SZVdHd1DpUrV46Y\nmBiLttjYWMqUKcPOnTu5ceMGbdq0AcBoNGIymQgKCuKdd96hU6dO2e7HngbBV5as2VMWsK88ypI1\ne8ryMFR0ish9nTp/g/lh4cQn3gbAzcWJoV3qE/BoaRsny5/8/f1ZunSpRdvhw4cZNmwYbdq0oWvX\nrub2I0eO8M9//pNNmzZRqlSpHPVT2J+MpSz5M4+y2H+WO/PklIpOEbmn3ccu8cmOSFLT0k/zlvV2\n5+XuflQ+YhQWAAAgAElEQVQs7WHjZPlLbGwsnp6euLq60r59e+bMmcO0adPo1asXq1atIjExkQ4d\nOuDm5oaXl5f5c5cuXQKgcuXKOe6zMD8Z636U5d7sKY+yZM2esjwM+7g4QETsitFo4svvT/Hx1t/N\nBWedKt5M6NdIBWc23H3JQXBwMNu3bwfSH6CxePFiDhw4QEhICMeOHWPp0qW4ubnZIqqISJ7RkU4R\nsZCYnMqSr37j2Omr5rbWQRV5vk1NnO3kInZ79/vvv1u8joyMtHjt6+tLWFjYA+fTpEmTTPMSEcmv\nVHSKiNnla4nMXR/OpauJADg5OvCPdrVoFVjRxslERCS/U9EpIgBE/HmNRRuPcys5FQAPN2dGdPOl\nbtUSNk4mIiIFgYpOkULOZDLx/aELrPr2JMb/jgtZobQHo0J8KVuiqI3TiYhIQaGiU6QQS00z8vk3\nJ9h15KK5zb9GKYZ2qY+7qzYPIiJiPdqriBRSCYkGFm44zh/nrpvbOjxWhZAnauDoqAHfRUTEulR0\nihRC56/cZO76cGJvJAPg7OTIgA51aNagvI2TiYhIQaWiU6SQOXwyhg83R5BiSAOgeDEXQp/zpUaF\n4jZOJiIiBVmuFZ1Dhw6lVKlSvPfee7nVhYjkgMlkYtves4TtOo3pv20+5T15OcSPEp6uNs0mIiIF\nX66M9Lx161Z++umn3Ji1iDwEw+00lm6OYP0dBWeTumV584UgFZwiIpInrH6k88aNG8yaNQs/Pz9r\nz1pEHkJcQgrzw8I5cynB3Nbtiep0alY10+MaRUREcovVi84ZM2bQtWtXrly5Yu1Zi0gOnb54gw++\nPMr1mwYAXIs4MbhTPRrWLmPjZCIiUthY9fT6nj17OHjwICNHjrTmbEXkIew6dJ53Pz1oLjhLebkx\nvk9DFZwiImITVjvSaTAYmDx5MpMmTcLFxcVasxWRHDKaTKz9/hSb//Onua1mpeKM7OaLl4f+NkVE\nxDasVnTOmzePBg0a8Pjjj//teTk55cr9TQ+VQVks2VMWsK889pAlKSWVJZt+49CJGHNby4AK9OtQ\nB2cb5bKH9ZLBHjKIiBRWVis6t23bxtWrVwkMDATg9u3bAOzcuZNDhw7laF5eXu7WivW3KUvW7CkL\n2FceW2WJvnqLaZ8d5Gx0+g1Djg4wqGsDOgdXt4sbhuzpOxIRkbxntaJz5cqVpKamml/PmjULgDFj\nxuR4XvHxSaSlGa0V7aE4OTni5eWuLHacxd7y2DJL5Nk45q4L52ZS+o+9om7OvNm3MY8+4sn164l5\nmuVu9vgdiYhI3rNa0fnII49YvPbw8ACgcuXKOZ5XWpqR1FTbFzSgLPdiT1nAvvLkdZYfj1zg869P\nkGZMH4GzXMmijO7lT71HyxIXd6vQrhcREbEvegymSD6VZjSy+ttTfHfovLmtfrWSDO9aH69iGvBd\nRETsS64VnXr8pUjuuZl0m8WbjhPxZ5y5rW2jSvRq/ShOjrpZRkRE7I+OdIrkM5eu3uLf68K5EpcE\ngJOjA33b16aFfwUbJxMREbk3FZ0i+Uh41FWWfHWcpJQ0ADyLFmFkN19qVfa2cTIREZH7U9Epkg+Y\nTCa+3n+OL384hSn9fiEqly3GyyG+lC6uu7FFRMT+qegUsXO3U418ujOS3ceizW0Na5VhUKe6uLno\nT1hERPIH7bFE7NiNmynM33CMqAvx5rbOj/vQtUU1HO1gwHcREZHsUtEpYqfORicwLyyca/EpALg4\nOzKoUz0a1ylr42QiIiI5p6JTxA4diLzCR1siMPx3MPUSnq6MCvGjanlPGycTERF5OCo6ReyI0WRi\ny+4/2fjLGXNbjQpehD7nS3EN+C4iIvmYRpEWsRMphjQWbzxuUXA2q1+ef/4jUAVnPmEwGOjcuTP7\n9++/5zQRERH07NmTgIAAevTowW+//Wbx/ocffkibNm1o2LAhAwYMICoqKrdji4jkCRWdInbgWnwy\n731+kAN/xADgAPRoVYPBnepSxNnJtuEkWwwGA6NHj+bUqVP3nCYpKYmhQ4fSuHFjwsLCCAgI4KWX\nXiI5ORmAVatWsWLFCiZOnEhYWBgVK1ZkyJAhpKSk5NViiIjkGhWdIjZ26vwN3lmxn78u3wTAzcWJ\nUd396NC0Kg66Qz1fiIqKomfPnpw/f/6+023duhV3d3fGjBlD9erVeeutt/Dw8GDHjh0AbNy4kUGD\nBtGyZUuqVq3K5MmTiYuL49ChQ3mxGCIiuUpFp4gN7T52iZmrDhGfeBuAMt5uvNW3Ef6PlrZxMsmJ\nffv20axZM9asWYMpY/T+LISHh9OwYUOLtqCgIA4fPgzAm2++SadOnczvZfzoSEhIyIXUIiJ5SzcS\nidiA0Whi7Y+n2LnvnLmtThVvRnTzpZh7ERsmk4fRu3fvbE135coVatWqZdFWqlQp8yn5oKAgi/e+\n/PJL0tLSMhWqIiL5kYpOkTyWmJzKh5t/IzzqqrmtVVBFerepibOTTj4UZMnJybi4uFi0ubi4YDAY\nMk179OhRZs6cyeDBgylVqlSO+3Kyg39LGRmUxZI9ZQH7yqMsWbOnLPDwOVR0iuShy9cSmbs+nEtX\nEwFwcnTgH+1q0Sqwoo2TSV5wdXXNVGAaDAbc3Nws2g4fPszQoUN54oknGDVq1EP15eXl/tA5rU1Z\nsmZPWcC+8ihL1uwpy8NQ0SmSRyL+vMaijce5lZwKgIebMyO7+VKnagkbJ5O8Uq5cOWJiYizaYmNj\nKVOmjPn1r7/+yrBhw2jRogVz5sx56L7i45NISzM+9OetwcnJES8vd2Wx4yz2lkdZ7D/LnXlySkWn\nSC4zmUx8f+gCq749ifG/N5lULO3By939KOudv3+1Ss74+/uzdOlSi7bDhw8zbNgwAE6cOMGIESN4\n8sknef/993F0fPhTaWlpRlJTbb9zAmW5F3vKAvaVR1myZk9ZHobVLw64fPkyo0aNomnTprRs2ZLp\n06dneb2SSGGQmmbk051/8Pk3J8wFp3+NUozv01AFZyERGxtrHmezffv2JCQkMG3aNKKiopg6dSqJ\niYl06NABgIkTJ1KhQgXGjh3LtWvXiI2Ntfi8iEh+ZvWic9SoUaSkpPDFF18wZ84cfvjhB/79739b\nuxsRu5eQaOD91UfYdeSiua3DY1V4OcQPd1edZCio7h5bNTg4mO3btwNQrFgxFi9ezIEDBwgJCeHY\nsWMsXboUNzc3YmNjOXr0KKdOneLJJ5+kRYsW5v8yPi8ikp9Zdc93+vRpwsPD2b17NyVLlgTSi9CZ\nM2cyZswYa3YlYtfOx9xk7rpwYm+kP2nG2cmRAR3q0KxBeRsnk9z2+++/W7yOjIy0eO3r60tYWFim\nz5UuXTrTZ0VEChKrFp1lypRh6dKl5oIT0q9n08DGUpgcOhHDoo3HSTGkAVDcw4XQEF9qVChu42Qi\nIiK2Y9Wi09PTk+DgYPNrk8nEypUrefzxx63ZjYhdMplMrP3uBJ9t+52MZ9JULe/Jy8/5UtLL7b6f\nFRERKehy9cKymTNnEhkZyfr163OzGxGbM9xO45PNf7Dnt2hzW5O6ZRnYsS4uRZxsmExERMQ+5FrR\nOWvWLD777DM++OADatSokaPP2sOI+/Y0+r+y3Js95IlLSOHfa49y+mK8ua37kzXo3Nwn000lecUe\n1ksGe8wiIiJ5L1eKzilTprBmzRpmzZpF27Ztc/x5expxX1myZk9ZwHZ5TvwVx7vL93MtPv2GITcX\nJ0b/I4hmvhVskudu9vQ92VMWERHJe1YvOufPn8+aNWv417/+Rbt27R5qHvYw4r49jf6vLPaZ5z/H\no/l4SwS3/ztQb+nibkwc/BilirkQF3crT7PczZ6+J3vMIiIiec+qRWdUVBSLFi3ipZdeIjAwkNjY\nWPN7pUuXzvZ87GnEfWXJmj1lgbzNYzSZ2PDTabbuOWtuq1mpOK/08KdqheLExd2ym3VjT9+TPWUR\nEZG8Z9Wi87vvvsNoNLJo0SIWLVoEpN/R6+DgoPHnpEBISkll6eYIjpz63w+qFn6P0Kd9bdw04LuI\niMg9WXUvOXToUIYOHWrNWYrYjZjrScxdH86FmPRT5w4O0Kt1Tdo1qmSzG4ZERETyCx2aEcmGP/6K\nY8GG49xMug2Au6szw7vWp0H1UjZOJiIikj+o6BR5gB+PXODzr0+QZkwf8r1cyaK80t2P8iWL2jiZ\niIhI/qGiU+Qe0oxGVn93iu8Onje31a9WkuFd61PUrYgNk4mIiOQ/KjpFsnAz6TaLNx0n4s84c1u7\nRpXp2boGTo4aYFxERCSnVHSK3OVi7C3mrg/nSlwSAE6ODvRpX5sn/O1jwHcREZH8SEWnyB3Co66y\n5KvjJKWkAeBZtAgju/lSq7K3jZOJiIjkbyo6RUgfT3bnvnOs/fEUpvT7hahUphijuvtSurieYCMi\nIvJ3qeiUQu92qpFPd0ay+1i0uS2oVhkGd6qLm4v+RERERKxBe1Qp1G7cMrAg7BinLtwwt3Vp7kOX\n4Go4asB3ERERq1HRKYXW2egE5oWFcy0+BQAXZ0cGPlOXJnXL2TiZiIhIwaOiUwqlA5FX+GhrBIbb\nRgBKeLrycogvPuW9bJxMRESkYFLRKYWK0WRi8+4/2fTLGXNb9QpehD7ni3cxVxsmExERKdhUdEqh\nkWJI4+OtERz4I8bc1qx+efp3qE0RZycbJhMRESn4VHRKoXAtPpm568P56/JNAByA7q1q8HSTKjjo\nhiEREZFcp6JTCrxTF24wP+wY8bcMALi5OPFSl/r4P1raxslEREQKDxWdUqDtPnaJT3ZEkpqWPuJ7\nWW93Xu7uR8XSHjZOJiIiUrio6JQCyWg0sfbHU+zcd87cVrdqCYY/24Bi7kVsmExERKRwcrT2DA0G\nA+PHj6dx48a0aNGC5cuXW7sLkftKTE7l3+vCLQrOVoEVea2nvwpOyVUGg4HOnTuzf//+e04TERFB\nz549CQgIoEePHvz2228W72/ZsoV27doRGBhIaGgocXFxuR1bRCRPWL3onDFjBhEREXz22WdMmjSJ\n+fPn8/XXX1u7G5EsXb6WyLufHeDY6asAODk60Kd9bfq0r42zk9X/uYuYGQwGRo8ezalTp+45TVJS\nEkOHDqVx48aEhYUREBDASy+9RHJyMgDh4eFMmDCBl19+mTVr1nDjxg3GjRuXV4sgIpKrrLoXTkpK\nYt26dUyYMIE6derQtm1bBg8ezMqVK63ZjUiWIv68xtRPD3DpaiIAHm7OjO4VQKvAijZOJgVdVFQU\nPXv25Pz58/edbuvWrbi7uzNmzBiqV6/OW2+9hYeHBzt27ADg888/p0OHDnTp0oVatWoxa9Ysdu3a\nxYULF/JiMUREcpVVi87IyEjS0tIICAgwtzVs2JDw8HBrdiNiwWQy8c3+c8xZc5RbyakAVCztwdv9\nG1O3agkbp5PCYN++fTRr1ow1a9ZgMpnuOV14eDgNGza0aAsKCuLw4cMAHDlyhMaNG5vfK1++PI88\n8ghHjx7NneAiInnIqjcSxcTE4O3tjbPz/2ZbqlQpUlJSiIuLo0QJFQBiXalpRhasO8rOvWfNbQGP\nlmZI53q4u+o+OckbvXv3ztZ0V65coVatWhZtpUqVMp+Sj4mJoWzZshbvly5dmujoaOsEFRGxIavu\nlZOSknBxcbFoy3htMBis2ZUICYkGFm08TuRf181tHR6rQsgTNXB01IDvYn+Sk5Oz3EZmbB8f9L6I\nSH5m1aLT1dU108Yx47W7u3u25+NkBzd8ZGRQFkv2kuX8lZv868ujxFxPAqCIkyMDO9Wlue8jNstk\nL+vmzgzKYsnWGe61jXRzc8vW+znxd5Z1X8Rl1u+KItmQ9tDzyODo6IDReO9LDvKSstybPeVRlqxZ\nK4ubixMhT9agSd1yDz2Ph92+WLXoLFeuHNevX8doNOLomB4oNjYWNzc3vLy8sj0fL6/sF6i5TVmy\nZsssvx6/xPtfHCQpJX2HWMLTlbcGNKF21ZI2y3QnfU9Zs6cstlKuXDliYmIs2mJjYylTpgwAZcuW\nJTY2NtP7d59yz46/s7537j9nviFPRAqer/efo/3j1fO8X6sWnXXr1sXZ2ZkjR44QFBQEwIEDB2jQ\noEGO5hMfn0RamtGa0XLMyckRLy93ZbGjLCaTiS3/+ZN1P0SR8Vuv2iNeTBz8GC6OEBd3K0/z3E3f\nU/7JYiv+/v4sXbrUou3w4cMMHz4cgICAAA4ePMizzz4LwKVLl4iOjsbf3z/Hff2d9d2+SWVuJhp0\npDMX2VMWsK88ypI1ax7pfKpx5b+1z3zYbalVi043Nze6du3KpEmTmDZtGpcvX2b58uVMnz49R/NJ\nSzOSmmrbnVMGZclaXmcx3E5jxfZI9kZcNrc1qVuWIV3qU9rbnbi4W4V23dyPsthebGwsnp6euLq6\n0r59e+bMmcO0adPo1asXq1atIjExkaeffhpIvyGpb9+++Pv706BBA6ZNm0arVq2oWDHnw379nfUd\nVLMMQTXLPNRn7+Ts7EiJEh528fepLPkjj7LkXRZbLJPVL3AaN24cDRo0oF+/fkyZMoVXXnmFtm3b\nWrsbKUTiElKY8cUhi4Kz2xPVealLfVyLONkwmUhmDg6WN7EFBwezfft2AIoVK8bixYs5cOAAISEh\nHDt2jKVLl5qv2QwICOCdd95hwYIF/OMf/8Db25tp06bl+TKIiOQGB9P9BpWzkYL6q0JZcu7MpXjm\nrQ/n+s30mytcizgxpHM9gmqVsUme+1GW/JOlMLCn9a0s9pvF3vIoi/1nuTNPjj+XC1lErGJvRDTL\nt0Vy+79/YKW83BjV3Y/KZYvZOJmIiIjklIpOsTtGk4kNP51m657/Dfhes1JxRnbzxcvD5T6fFBER\nEXulolPsSlJKKh9tieDwyf8NG9PC7xH6tK+Nsx2M8ygiIiIPR0Wn2I2Y60nMXR/OhZj0YRwcHOD5\n1jVp26hSppszREREJH9R0Sl24Y+/4liw4Tg3k24DUNTVmWHP1qdBtVI2TiYiIiLWoKJTbO7HIxf4\n/OsTpP130NtyJYvySnc/ypcsauNkIiIiYi0qOsVm0oxGVn97iu8OnTe3NahWkmFd61PUrYgNk4mI\niIi1qegUm7iZdJvFm44T8Wecua1do8r0bF0DJ0fdMCQiIlLQqOiUPHfp6i3+vS6cK3FJADg5OtC3\nfW1a+FewcTIRERHJLSo6JU+FR11lyVfHSUpJA8CzaBFGdvOlVmVvGycTERGR3KSiU/KEyWRi575z\nrP3xFBkPXq1cthgvh/hSuri7bcOJiIhIrlPRKbnudqqRT3dGsvtYtLktqFYZBneqi5uL/gmKiIgU\nBtrjS666cTOF+RuOEXUh3tzW+XEfuraohqMGfBcRESk0VHRKrjkbncC8sHCuxacA4OLsyMBn6tKk\nbjkbJxMREZG8pqJTcsWByCt8tDUCw20jACU8XXk5xBef8l42TiYiIiK2oKJTrMpoMvHVL2f4avef\n5rbqFbwIfc4X72KutgsmIiIiNqWiU6wmxZDGR1sjOPhHjLmtWf3y9O9QmyLOTjZMJiIiIrZm1aIz\nISGB6dOn8+OPP2I0GnnyyScZP348np6e1uxG7NC1+GTmrg/nr8s3AXAAuj9Zg6ebVsFBNwyJiIgU\nelZ93uDEiRM5ceIES5cuZdmyZURFRfH2229bswuxQ6fO3+CdFfvNBaebixOjuvvR4bGqKjhFREQE\nsOKRzqSkJL755htWrVpFvXr1ABg/fjwvvvgiBoMBFxcXa3UldmT3sUt8siOS1LT0Ed/LeLsxqrs/\nFUt72DiZiIiI2BOrFZ2Ojo4sXryYOnXqmNtMJhNpaWkkJiaq6CxgjEYTa74/yc5958xtdap4M6Kb\nL8Xci9gwmYiIiNgjqxWdrq6uBAcHW7R9+umn1K5dG29vPVe7ILmVdJt/fXmEo6eumttaBVWkd5ua\nODtZ9YoNERERKSByVHSmpKRw+fLlLN8rU6YM7u7/e4b2ypUr2blzJx9//PHfSyh2JfpaInPX7eX8\nlfTrN50cHfhHu1q0Cqxo42QiIiJiz3JUdB49epS+fftmeXPI/PnzadOmDQCff/457777Lm+99RbN\nmjXLcSgnOzhalpFBWf7ntzPXmL8+nFvJqQB4uBfh5RBf6vmUtFkme1k3d2ZQFkv2mEVERPJejorO\nJk2aEBkZed9pPv74Y2bNmsXYsWN58cUXHyqUl5f7gyfKI8qSfm3u1t1nWLrpOEZj+g1Dlct58vbA\npjxiJzcM6XvKmrKIiIi9sOo4nRs2bGD27Nm89dZb9OnT56HnEx+fRFqa0YrJcs7JyREvL/dCnyU1\nzchnO//gh0MXzG2N65VjaJf6uDpBXNytPM1zN31PyvIwWUREJO9Zrei8ceMGU6ZM4dlnn6VDhw7E\nxsaa3ytZsiSOjtk/rZWWZiQ11bY7pwyFOUtCooGFG47zx7nr5rZnHq/KkG7+xN9ItJv1AoX7e7of\nZREREXthtQucdu/eTVJSEhs3bqRFixa0aNGC4OBgWrRoQXR0tLW6kTxyPuYmUz45YC44nZ0cGdKp\nHr1a18TJUQO+i9zNYDAwfvx4GjduTIsWLVi+fPk9p/3ll1/o2rUrgYGBDBw4kDNnzli8P3/+fFq2\nbEmTJk147bXXuHbtWm7HFxHJdVY70tmxY0c6duxordmJDR0+GcOHmyNIMaQBUNzDhdAQX2pUKG7j\nZCL2a8aMGURERPDZZ59x/vx53nzzTSpWrMhTTz1lMd3JkycZNmwYw4YNo1OnTqxdu5Z+/fqxc+dO\n3N3dWb16NevXr+f999/H29ubSZMm8fbbb7NgwQIbLZmIiHXoVk4xM5lMbN3zJ/PXHzMXnFXLe/J2\nv0YqOEXuIykpiXXr1jFhwgTq1KlD27ZtGTx4MCtXrsw07erVqwkMDCQ0NBQfHx/GjBmDl5cXmzdv\nBuCnn36iQ4cONGrUiEcffZTBgwezZ8+evF4kERGrU9EpABhup7F0cwTrd53G9N+2JnXLMvaFIEp6\nudk0m4i9i4yMJC0tjYCAAHNbw4YNCQ8PzzTtuXPn8Pf3t2irWbMmhw8fBsDb25tdu3Zx+fJlkpOT\n2bJlC/Xr18/dBRARyQNWvXtd8qe4hBTmh4Vz5lKCua1bi2p0etwnyzFZRcRSTEwM3t7eODv/b5Na\nqlQpUlJSiIuLo0SJEhbtdz9k49KlS+Ynt40cOZJhw4bRsmVLnJycKFu2LKtXr86bBRERyUU60lnI\nnbkUz5RP9psLTtciTozs5kvn5tVUcIpkU1JSEi4uLhZtGa8NBoNFe8eOHdmxYwc//vgjaWlpbNiw\ngePHj3P79m0Azp8/T9GiRVmyZAkrV66kXLlyjB8/Pm8WREQkF+lIZyG297dolm2LJPW/YyeW8nLl\n5RA/qpTztHEykfzF1dU1U3GZ8frOxwMDtGjRgtDQUF5++WWMRiNNmzbl2WefJSEh/Yff2LFjefPN\nN2nZsiUAH3zwAa1atSI8PBw/P79sZ7KHpy/Z49OolCUze8qjLFmzpyzw8DlUdBZCRpOJDT+dZuue\ns+a2mpWKM7KbL14eLvf5pIhkpVy5cly/fh2j0Wgekzg2NhY3Nze8vLwyTf/SSy8xcOBAEhISKFmy\nJK+++ioVK1bk2rVrXLp0idq1a5unLV++PCVKlODixYs5KjrtaRB8ZcmaPWUB+8qjLFmzpywPQ0Vn\nIZOUkspHWyI4fPJ/g/e38HuEPu1r42wnv6BE8pu6devi7OzMkSNHCAoKAuDAgQM0aNAg07Rbt27l\n6NGjjB8/npIlS5KcnMyvv/7KjBkzKF68OC4uLkRFRVGtWjUArl27xvXr16lUqVKOMtnTE6CUxX6z\n2FseZbH/LHfmySkVnYVIzPUk5q0P53xM+qMrHRygV+uatGtUSddvivwNbm5udO3alUmTJjFt2jQu\nX77M8uXLmT59OpB+1NPT0xNXV1d8fHzMg8jXrFmTWbNmUaFCBZ544gkAnnvuOWbMmIG3tzdeXl7M\nnDmTgICALAvY+7GnJ0ApS9bsKQvYVx5lyZo9ZXkYOrRVSPzxVxxTPjlgLjjdXZ15rac/TzWurIJT\nxArGjRtHgwYN6NevH1OmTOGVV16hbdu2AAQHB7N9+3YA6tevz+TJk5k+fTrdu3fHycmJJUuWmOcz\nfvx42rVrxxtvvEHfvn0pXry4BoYXkQLBwWQymR48Wd6Ki7tl80re2dmREiU8CkSWH49c4POvT5Bm\nTP+qy5UsyqgQXx4p5ZHnWazNnvIoS/7JUhjY0/pWFvvNYm95lMX+s9yZJ8efy4UsYifSjEZWf3uK\n7w6dN7fVr1aS4V3rU9StiA2TiYiISGGjorOAupl0m0Ubj/P72Thz21ONK9OjVQ2cHHVVhYiIiOQt\nFZ0F0KWrt/j3unCuxCUB4OToQN/2tWnhX8HGyURERKSwUtFZwIRHXWXJV8dJSkkDwLNoEUZ286VW\nZW8bJxMREZHCTEVnAWEymdi57xxrfzxFxq1hlcsW4+UQX0oXz9+DyYqIiEj+p6KzALidauTTnZHs\nPhZtbguqVYbBneri5qKvWERERGxPFUk+d+OWgQVhxzh14Ya5rUtzH7oEV8NR42+KiIiInci1onPy\n5MlERUXx2Wef5VYXhd7Z6ATmhYVzLT4FABdnRwY+U5cmdcvZOJmIiIiIpVwZO+fQoUOsWbNGT7rJ\nRQcir/De5wfNBWcJT1fGvhikglNERETsktWPdN6+fZtJkyYRGBho7VkLYDSZ2Lz7Tzb9csbcVr2C\nF6HP+eJdzNWGyURERETuzepF55IlS6hduzY+Pj7s27fP2rMv1FIMaSzZdJwDf8SY25rVL0//DrUp\n4uxkw2QiIiIi92fV0+tRUVGsXr2a8ePHW3O2AsTEJTH10wPmgtMB6NGqBoM71VXBKSIiInYvR0c6\nU1JSuHz5cpbvlSlThkmTJvHKK69QsmRJq4STdCfPX2fe+mNcT0i/ftPNxYmhXeoT8GhpGycTERER\nyTQu0MwAABtASURBVJ4cFZ1Hjx6lb9++Wd4gNHr0aIxGIz169PjboZycbP9s8IwMts7y89GLLN/2\nO6lp6SO+l/V259Ve/lQqU8wmeexlvWSwpzzKkjV7zCIiInkvR0VnkyZNiIyMzPK9vn37cvz4cfMN\nRLdv38ZoNBIUFMS2bdsoX758tvvx8rKfJ+jYKkua0cSKLb+xcVeUuc3v0dK82bcxXh4uNsl0J3v6\njsC+8ihL1uwpi4iI5D2r3Ug0e/ZsUlJSzK8/+eQTjh07xuzZsylbtmyO5hUfn0RamtFa0R6Kk5Mj\nXl7uNsmSmJzKoo3HOHrqqrmt4+M+9Gr9KGmG28QZbudpnjvZcr3Yex5lyT9ZREQk71mt6Ly7sPT2\n9sbV1ZXKlSvneF5paUZSU21f0EDeZ7kcl8jcdeFcupoIgJOjA33a1yakbW3i4m4V2vXyIPaUR1my\nZk9ZREQk7+kxmHYk4s9rLNp4nFvJqQB4uDkzopsvvjVK2TiZiIiIyN+Ta0VnaGhobs26wDGZTHx/\n6AKrvj2J0ZR+w1DF0h683N2Pst46FSgiIiL5n4502lhqmpHPvznBriMXzW3+NUoxtEt93F319YiI\niEjBoKrGhhISDSzccJw/zl03t3V4rAohT9TA0VHPrRcREZGCQ0WnjZyPucncdeHE3kgGwNnJkQEd\n6tCsQfaHlhIRERHJL1R02sDhkzF8uDmCFEMaAMU9XAgN8aVGheI2TiYiIiKSO1R05iGTycS2vWcJ\n23Ua03/bqpb35OXnfCnp5WbTbCIiIiK5SUVnHjHcTmPF9kj2Rvzv2fVN6pZlYMe6uBRxsmEyERER\nkdynojMPxCWkMD8snDOXEsxt3Z6oTqdmVbN8jr2IiIhIQaOiM5edvhjPvLBwbtw0AOBaxIkhnesR\nVKuMjZOJiIiI5B1HWwcoyPZGRDPji0PmgrOUlxvj+zRUwSlSABkMBsaPH0/jxo1p0aIFy5cvv+e0\nv/zyC127diUwMJCBAwdy5swZi/d37NhB+/btCQwMZNCgQVy8ePEecxIRyT9UdOYCo8nE+l1RfPhV\nBLf/+6zpWpWK83b/RlQuW8zG6UQkN8yYMYOIiAg+++wzJk2axPz58/n6668zTXfy5EmGDRtGu3bt\n2LBhA3Xr1qVfv34kJSUBcOjQId544w0GDx7Mhg0bKFKkCKNHj87rxRERsToVnVaWlJLKgrBjbN1z\n1tz2hP8jvNE7EK+iLjZMJiK5JSkpiXXr1jFhwgTq1KlD27ZtGTx4MCtXrsw07erVqwkMDCQ0NBQf\nHx/GjBmDl5cXmzdvBmD58uV07dqVHj164OPjw4QJE4j5//buPSrKOv8D+BsYuQqOkNBKrCjHlZvJ\nxSBQpFLX1Sigms6pY7Cat2OYphRyiUusiKLUulihp59ptsFRw7QsUvu5upsHvAGazgaY/shVAmUQ\nuQwy8/z+cBmdQAubeZ7H8f06hz+e7zzO9z3j8OEzz7WpCRqNps9zERHdS9h0mlCTphN5W4/hRG0z\nAMDKCnhh8mgk/skXChu+1USWSq1WQ6fTISgoyDAWGhqKmpqaPus2NDRg3LhxRmOjR4/GiRMnAACV\nlZWYOnWq4bGHHnoI+/fvh1KpNFN6IiJxsBMykX//XwtyNx/FhaZ2AICDnQKvqcZh6iNePEOdyMI1\nNTVBqVRCobh5bqabmxu0Wi1aWlqM1nVzc0NjY6PR2MWLF9HS0oK2tja0traip6cHL7/8MiZOnIiF\nCxf2WZ+I6F7EptME/lF1AWtKqnCt8zoAwMPVERkJoQgc5SZxMiISQ2dnJ2xtjQ+f6V3u7u42Gp8x\nYwa++uorHDhwADqdDmVlZTh16hSuX7+Ojo4OAMCKFSsQFxeH999/H93d3ViwYIE4L4SIyIx4yaTf\nQKfXo2RfHfYf/9EwFjDSFQtiA+BkP0jCZEQkJjs7uz7NZe+yg4OD0XhUVBSSkpKwaNEi6PV6hIeH\nIy4uDm1tbbCxuXGjCJVKhaeeegoAsGbNGkyYMAFVVVVGu+9/iY0MDunpzcAsxuSUBZBXHmbpn5yy\nAHefg03nXbrWeR3vf3YKp8/d3HU2dbwXnn/CBzbW8vhQEJE4PDw8oNFooNfrYf3f3//m5mbY29vD\nxcWlz/rz58/H7Nmz0dbWBldXVyxZsgSenp4YOnQoFAoFRo4caVhXqVRCqVTi4sWLA2o6XVwcfnkl\nkTBL/+SUBZBXHmbpn5yy3A02nXfhP83tWLejBj+13LjEiY21FRKmjUHUuOESJyMiKfj5+UGhUKCq\nqgohISEAgKNHjyIwMLDPul988QWqq6uRlpYGV1dXdHV1oaKiAqtWrYKNjQ0CAwOhVqsxffp0AMCV\nK1fQ0tICT0/PAWW6erUTOp3+t7+438DGxhouLg7MIuMscsvDLPLPcmuegTJ507lu3TqUlpaip6cH\n06ZNQ0ZGRp9jne5lNfWXUbzrFDq1OgCAs+MgvBI/Fn/w4pmlRPcre3t7xMbGIisrC3l5eWhsbMSm\nTZuQn58P4MZWT2dnZ9jZ2cHb29twEfnRo0ejoKAAw4cPx6RJkwAAs2bNQmpqKvz8/AyP+/v74+GH\nHx5QJp1Oj54e6f84AcxyO3LKAsgrD7P0T05Z7oZJm84NGzagpKQE77zzDhwcHLBs2TKsX78er732\nmimnkYQgCCivbMC2A3UQhBtjXu6DsejZsXhgyL29uZuIfrvU1FTk5OQgMTERzs7OWLx4MaZMmQIA\nmDhxIvLz8xEXF4eAgABkZ2cjPz8fra2tiIyMRHFxseF5pk2bhqtXr2L16tVoaWlBeHg41q9fL9XL\nIiIyGZM1nXq9Hh9++CFSUlIQFhYGAHj11VdRVlZmqikkc71Hjy3lavzr5CXDWMgfhmFOjB/sbXmE\nAhHd2Nq5cuVKrFy5ss9jarXaaDk+Ph7x8fG3fS6VSgWVSmXyjEREUjJZx1RbWwuNRoPJkycbxmJi\nYhATE2OqKSShuabFX7dVo/7CVcPYU5HeiI0aCWtef5OIiIjoVzHZadYNDQ0YMmQIjh8/jvj4eDz2\n2GPIy8vrcxmRe0n9jxpk/0+loeG0VVhjQWwA4ieNYsNJRERENAAD2tKp1Wpve2eMa9euobOzE4WF\nhUhLS4NOp0NmZiYEQUB6erpJwoqp8kwjNu4+DW33jROGhjrbYdGzY+H9YN/LnxARERHRnQ2o6ayu\nrkZCQkK/t3Vcu3Yturq6kJGRgfHjxwMAUlJSkJycPOCmU8qLn+oFATsPnsXOQz8Yxnw8XbD4uXFQ\nOttJkklOF4WVUxZAXnmYpX9yzEJEROIbUNMZFhbW54D4XkeOHIGVlRVGjRplGBs5ciS0Wi2uXLkC\nV1fXXz2PVBc/7dL24O2S4/i25qJh7PHQh5CkCoLtIBtJMt1KTheFlVMWQF55mKV/cspCRETiM9mJ\nRH5+fhg0aBDUajUiIyMBAPX19XBycoJSObBrWEpx8dPm1i78dVs1zl9qAwBYAUh80h9TQj3Rfq0L\n7aKmMSani8LKKYvc8jDLvZOFiIjEZ7Kmc/DgwVCpVMjNzUV+fj70ej3Wrl0LlUpluC3cryX2xU/r\nfmxF0ac1uNpxHQBgb2uDhfFj8XjYCLS0tMvmQqxyuiisnLIA8srDLP2TUxYiIhKfSS8ymZqaioKC\nAsybNw8A8PTTT2Pp0qWmnMLk/nXyIjZ/pUaP7sYV392VDlj03MMY8aCzxMmIiIiILIdJm06FQoHU\n1FSkpqaa8mnNQq8XsO1AHcorGwxjvr9XYmH8WAx2GCRhMiIiIiLLc1/eTqejqwfFu77DybOXDWOP\nh3jihcmjoeDZrUREREQmd981nY1XOrBuRw0uXu4AANhYW+HFqX/A48GeEicjIiIislz3VdN5+twV\nvLfzFNq7egAATvYKLIwfC78RQyVORkRERGTZ7oumUxAEfHP8Aj7ZVwu9cOOEoeEPOOHVZ8fCfaij\nxOmIiIiILJ/FN509Oj0+3vs9/lH1H8PYOB83zHs6AA52Fv/yiYiIiGTBoruuto5uvFt2Cv9u0BjG\npj/6ezw7yQfW1n1v5UlERERE5mGxTeePTdewbnsNmlu7AAAKG2vMmu6LiMAHJU5GREREdP+xyKbz\nRG0TNuw+DW23DgAwxMkWSc+Ohc/wIRInIyIiIro/WVzT+fWRBpTur4Xw3+URDzpj0TNj4epiL2ku\nIiIiovuZRTWd1zqvY9v/1hkazjA/d8ya4Qe7QTaS5iIiIiK631lU0+lor8DvPQbjQlM7noz0RkzE\nCFhZ8YQhIiIiIqlZVNNpbWWF9ITxuN6j59ZNIiIiIhmxuBuNW1tZseEkIiIikhmLazqJiIiISH7Y\ndBIRERGR2bHpJCIiIiKzY9NJRERERGbHppOIiIiIzM6kTefVq1eRnJyM8PBwREdHo7CwEIIg/PI/\nJCK6x3V3dyMtLQ2PPPIIoqKisGnTptuu+89//hOxsbEIDg7G7Nmz8cMPP/S73p49e+Dr62uuyERE\nojJp05mdnY3m5mb8/e9/R0FBAT799FNs2bLFlFMQEcnSqlWrcPr0aXz00UfIyspCUVERvv766z7r\n1dbWYsGCBZg6dSrKysrg5+eHxMREdHZ2Gq3X1taGvLw83uCCiCyGSZvOgwcPYtasWfDx8UFYWBie\neuopHD582JRTEBHJTmdnJ7Zv346MjAz4+vpiypQpmDNnDrZu3dpn3ZKSEgQHByMpKQne3t54/fXX\n4eLigt27dxutt3r1aowYMUKsl0BEZHYmbTqVSiV27dqFrq4uNDY24tChQwgICDDlFEREsqNWq6HT\n6RAUFGQYCw0NRU1NTZ91GxoaMG7cOKOx0aNH48SJE4blyspKVFZWYsGCBeYLTUQkMpM2nVlZWfj2\n228REhKC6OhoeHh44JVXXjHlFEREstPU1ASlUgmF4uadhd3c3KDVatHS0mK0rpubGxobG43GLl68\naFivu7sbmZmZyM7Ohp2dnfnDExGJZED3XtdqtX2KZa9hw4bh7NmzGDt2LJKSkvDTTz8hJycHGzdu\nxPz58wcUysZG+pPqezMwizE5ZQHklYdZ+ifHLKbW2dkJW1tbo7He5e7ubqPxGTNmYOHChXjyyScR\nFRWFXbt24dSpUwgPDwcArF+/HoGBgYiIiEBlZeVdZ5LT+80sxuSUBZBXHmbpn5yyAHefY0BNZ3V1\nNRISEvo9sD05ORmFhYU4ePAg3NzcANwoxDk5OZg7dy6srX99QBcXh4HEMitm6Z+csgDyysMs/ZNT\nFlOzs7Pr01z2Ljs4GL/uqKgoJCUlYdGiRdDr9QgPD0dcXBza2tpQW1uL7du3G47v/C1X/5DT+80s\n/ZNTFkBeeZilf3LKcjcG1HSGhYVBrVb3+9iXX36JoUOHGhpOAPD390d7ezs0Gg1cXV1/W1IiIpny\n8PCARqOBXq83fMFubm6Gvb09XFxc+qw/f/58zJ49G21tbXB1dcWSJUvg6emJ8vJytLa2YvLkyQAA\nvV4PQRAQEhKCt956CzExMaK+LiIiUxpQ03kn7u7u0Gg0uHLliqHBrK+vh6OjIxtOIrJofn5+UCgU\nqKqqQkhICADg6NGjCAwM7LPuF198gerqaqSlpcHV1RVdXV2oqKhAfn4+goODERsba1i3qqoKb7zx\nBj777DOjL/RERPcikx0cEBQUBB8fH6SkpKCurg6VlZUoKCjAzJkzTTUFEZEs2dvbIzY2FllZWTh5\n8iT27duHTZs2ITExEcCNrZ5arRYA4O3tjdLSUuzduxfnzp3DsmXLMHz4cERHR8PFxQVeXl6GHw8P\nDwCAl5cXHB0dJXt9RESmYCWY8JZBjY2NWLFiBSoqKuDk5ITY2FgkJSXBxsbGVFMQEclSV1cXcnJy\nUF5eDmdnZ8yZMwcvvfQSAMDX1xf5+fmIi4sDAJSVlaGoqAitra2IjIxEZmYmHnjggT7PWVlZicTE\nRJw5c0bU10JEZA4mbTqJiIiIiPojj3PviYiIiMiisekkIiIiIrNj00lEREREZsemk4iIiIjMTnZN\n59WrV5GcnIzw8HBER0ejsLDwN92VwxTWrVuHCRMmIDw8HJmZmX3uPCKF7Oxsw5mxUmhra0N6ejom\nTJiAiIgIpKamoq2tTbT5u7u7kZaWhkceeQRRUVHYtGmTaHP/XGNjI1599VXDZzY/P18Wn5F58+Yh\nNTVV0gzd3d3IyclBWFgYJk6ciLfffluyLJcuXcKCBQsQGhqKyZMnY/PmzZJlEYPcainraF+sozex\njt6eRdVRQWZee+01ITExUairqxMqKiqECRMmCB9++KFkeYqLi4WIiAihoqJCqKmpEaZOnSoUFhZK\nlkcQBOHYsWOCr6+v8NJLL0mWYcmSJcJzzz0nfPfdd8Lp06cFlUolLF68WLT533rrLSE2NlY4c+aM\nsHfvXiEkJEQoLy8Xbf5bPf/888K8efOEuro64ejRo8If//hHYfXq1ZJk6fX5558LY8aMEZYvXy5p\njjfffFOYNm2acPLkSeHw4cPCo48+KpSWlkqS5fnnnxeWLl0qnD9/Xti3b58QFBQk7N27V5IsYpBT\nLWUd7R/r6E2so7dnSXVUdk1naGiocODAAcNyfn6+MH/+fEmy6HQ6ISIiQti5c6dhbPfu3cLs2bMl\nySMIgtDd3S3ExMQIL7zwgmTFsqOjQwgICBBqamoMYydOnBACAgIErVYryvwPP/ywcOTIEcPYu+++\nK8n7UV9fL/j6+gqXL182jH3++efCpEmTRM/SS6PRCNHR0YJKpZK0WGo0GiEgIMDo/2nDhg1CWlqa\n6FlaW1uFMWPGCLW1tYaxRYsWCbm5uaJnEYtcainraP9YR29iHb1zDkuqo7Lbva5UKrFr1y50dXWh\nsbERhw4dQkBAgCRZamtrodFoDPdBBoCYmBh88MEHkuQBgOLiYowZMwaRkZGSZbC2tsb7778PX19f\nw5ggCNDpdOjo6DD7/Gq1GjqdDkFBQYax0NBQ1NTUmH3unxs2bBg2btxodKtXQRBE3UX2c6tWrUJs\nbCx8fHwkywAAx44dg7OzM8aPH28Ymzt3LlasWCF6Fnt7ezg4OGDHjh3o6enB2bNncfz4cfj7+4ue\nRSxyqaWso/1jHb2JdfT2LK2Oyq7pzMrKwrfffouQkBBER0fDw8MDr7zyiiRZGhoaMGTIEBw/fhzx\n8fF47LHHkJeXJ9lxJvX19SgpKUFaWpok8/eys7PDxIkTMWjQIMPYli1bMGbMGCiVSrPP39TUBKVS\nCYVCYRhzc3ODVqtFS0uL2ee/lbOzMyZOnGhYFgQBW7duleyP2eHDh3Hs2DHJfmdu1dDQAE9PT+zc\nuRPTp0/HlClT8O6770pyXKGtrS0yMzNRUlKCcePGYcaMGZg0aRKeeeYZ0bOIRS61lHW0f6yjN7GO\n3p6l1VHFL69iWlqtFo2Njf0+NmzYMJw9exZjx45FUlISfvrpJ+Tk5GDjxo2YP3++6HmuXbuGzs5O\nFBYWIi0tDTqdDpmZmRAEAenp6aJmGTZsGLKysrB48WKjb4Pm8ktZHBwcDMtbt25FeXm5aFsuOjs7\nYWtrazTWuyz1geerV6+GWq3Gjh07RJ+7u7sb2dnZyMrK6vP+SKGjowPnzp3Dtm3bkJ+fj6amJrz5\n5ptwdHTEn//8Z9Hz1NfX44knnsDLL7+M77//Hrm5uYiMjERMTIzoWUxBTrWUdfTusrCO9o919CZL\nq6OiN53V1dVISEiAlZVVn8eSk5NRWFiIgwcPws3NDcCNX4ycnBzMnTsX1tam3zB7pzxr165FV1cX\nMjIyDJu2U1JSkJycbJZieacsS5cuhV6vh0qlMvm8A81SVFRk2FX28ccfY8WKFUhPT0dERIQo2ezs\n7PoUxd7lW4u42AoKCvDRRx/hnXfekWSXzN/+9jcEBgZKusvwVjY2Nmhvb8fatWvx4IMPAgAuXLiA\nTz75RPRiefjwYWzfvh0HDx6Era0t/P39cenSJbz33nv3bNMpp1rKOjrwLKyj/WMdNWZpdVT0pjMs\nLAxqtbrfx7788ksMHTrUUCQBwN/fH+3t7dBoNGb5ZnqnPEeOHIGVlRVGjRplGBs5ciS0Wi2uXLli\n8jx3ypKQkIBTp04hODgYAHD9+nXo9XqEhIRgz549hg+jGFl6ffDBBygoKMDy5csxc+ZMk85/Jx4e\nHtBoNNDr9YY/ns3NzbC3t4eLi4toOW6Vm5uL0tJSFBQUYMqUKZJk2LNnDy5fvmz0GQGA8vJyHD9+\nXPQ87u7usLOzM/psjhw5EpcuXRI9y3fffQdvb2+jLRd+fn4oLi4WPYupyKmWso4OPEsv1tGbWEf7\nsrQ6KnrTeSfu7u7QaDRGhai+vh6Ojo6i7Ar5OT8/PwwaNAhqtdrwrae+vh5OTk6iHHNzqzVr1kCr\n1RqWN2/ejJMnT2LNmjVwd3cXNQsAlJWVYc2aNUhPTxf9Ond+fn5QKBSoqqpCSEgIAODo0aMIDAwU\nNUevoqIilJaW4u2338bUqVMlyQDc2D3X09NjWC4oKAAAvP7665LkCQoKglarxfnz5zFixAgAN35/\nPD09Rc/i7u6O8+fPo6enx3AM29mzZ/HQQw+JnkUMcqqlrKO3xzp6E+to/yytjsrqRKKgoCD4+Pgg\nJSUFdXV1qKysREFBgajf/m41ePBgqFQq5Obmorq6GidOnMDatWuhUqnMsqv/Ttzd3eHl5WX4USqV\nsLOzg5eXl+hZWltbkZubi7i4OEyfPh3Nzc2GH71eb/b57e3tERsbi6ysLJw8eRL79u3Dpk2bkJiY\naPa5f66+vh7vvfce5s2bh+DgYKP3Qmy/+93vjD4jTk5OcHJygpeXl+hZAMDb2xvR0dFYvnw51Go1\nDh06hI0bN+LFF18UPcsTTzwBhUKBjIwMnDt3Dt988w2Ki4uRkJAgehYxyKmWso72j3X0JtbR27O0\nOmolSHEK1B00NjZixYoVqKiogJOTE2JjY5GUlAQbGxtJ8vT09KCgoAA7d+4EADz99NN44403jM44\nlEJRUREqKyuxZcsW0efes2cPli1bZjQmCAKsrKywf/9+DB8+3OwZurq6kJOTg/Lycjg7O2POnDmS\n3Flkw4YNfe4O0ftenDlzRvQ8t+q9i8bKlSsly3Dt2jX85S9/wd69e+Hg4IAXX3wRCxculCRLfX09\n8vLyUFNTA1dXV8ycOVPSu9GYm5xqKetoX6yjN7GO3pkl1VHZNZ1EREREZHlktXudiIiIiCwTm04i\nIiIiMjs2nURERERkdmw6iYiIiMjs2HQSERERkdmx6SQiIiIis2PTSURERERmx6aTiIiIiMyOTScR\nERERmR2bTiIiIiIyOzadRERERGR2bDqJiIiIyOz+H3T883t7X/3MAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x123573208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 7\n",
    "fig = plt.figure(figsize=(8,3))\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = np.copy(xvals)\n",
    "yp = [1] * len(ys)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(xvals, ys, lw=2)\n",
    "#plt.ylim(-.05, 7.05)\n",
    "plt.title(\"identity function\")\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(xvals, yp, lw=2)\n",
    "#plt.ylim(-.02, .27)\n",
    "plt.title(\"derivative of identity function\")\n",
    "file_helper.save_figure('identity-and-derivative')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAq4AAAEnCAYAAABoqMGLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fa404e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 2\n",
    "fig = plt.figure(figsize=(8,3))\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = [x if x > 0 else 0 for x in xvals]\n",
    "yp = [0 if x < 0 else 1 for x in xvals]\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(xvals, ys, lw=2)\n",
    "plt.ylim(-xrange, xrange)\n",
    "plt.title(\"ReLU\")\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot([-2,0],[0,0], lw=2, color='#5176b0')\n",
    "plt.plot([0,2],[1,1], lw=2, color='#5176b0')\n",
    "plt.scatter(0, 0, s=100, facecolor='white', lw=2, edgecolor='#5176b0', zorder=10)\n",
    "plt.scatter(0, 1, s=100, facecolor='#5176b0', lw=2, edgecolor='none')\n",
    "plt.xlim(-2,2)\n",
    "plt.title(\"derivative of ReLU\")\n",
    "file_helper.save_figure('ReLU-and-derivative')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqQAAAEnCAYAAAB/ilFCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSFYsSImIiIhIVixIiYiIiEhW/w9cVWIqQvHQyQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120dbe828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 20\n",
    "fig = plt.figure(figsize=(8,3))\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = [sigma(x) for x in xvals]\n",
    "yp = [sigma_prime(x) for x in xvals]\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(xvals, ys, lw=2)\n",
    "plt.ylim(-.05, 1.05)\n",
    "plt.title(\"sigmoid\")\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(xvals, yp, lw=2)\n",
    "plt.ylim(-.02, .27)\n",
    "plt.title(\"derivative of sigmoid\")\n",
    "file_helper.save_figure('big-sigmoid-and-derivative')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqIAAAEnCAYAAABylCEFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKAAASSiiAAAk8RvaRd9sjoVZIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120f7db38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = 20\n",
    "fig = plt.figure(figsize=(8,3))\n",
    "xvals = np.linspace(-xrange, xrange, 100)\n",
    "ys = [x if x > 0 else 0 for x in xvals]\n",
    "yp = [0 if x < 0 else 1 for x in xvals]\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(xvals, ys, lw=2)\n",
    "plt.ylim(-.5, 20.5)\n",
    "plt.title(\"ReLU\")\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot([-2,0],[0,0], lw=2, color='#5176b0')\n",
    "plt.plot([0,2],[1,1], lw=2, color='#5176b0')\n",
    "plt.scatter(0, 0, s=100, facecolor='white', lw=2, edgecolor='#5176b0', zorder=10)\n",
    "plt.scatter(0, 1, s=100, facecolor='#5176b0', lw=2, edgecolor='none')\n",
    "plt.xlim(-2, 2)\n",
    "plt.ylim(-.2, 1.2)\n",
    "plt.title(\"derivative of ReLU\")\n",
    "file_helper.save_figure('big-ReLU-and-derivative')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
